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Exponents
We write the quantity A multiplied to itself n times as An, that is
A x A x A ….x A = =3D An
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Exponents
We write the quantity A multiplied to itself n times as An, that is
A x A x A ….x A = =3D An
base
------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0011_image002.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJAAgAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAUABQAf ABsAgAAAAP///wI5TICpyw0Gj5stSooVzDyZd3XcJ3ZkOaKmmrLY6VZhvMB0fTtzjuy8/fPdgD8e Qzg01pAx4pDZVGoKADs= ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0012.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Exponents
We write the quantity A multiplied to itself n times as An, that is
A x A x A ….x A = =3D An
base
exponent
------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0012_image003.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhLAA4AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMAAAAo ADYAgAAAAP///wJchI+py+HBokwPztse3lTzX33NEoqRc5SmVKHr1Vrvps72jef6zvf+DwwKh8Si 8YhMKmmyYUzYInqcEFfRKm1KkVontxvEUrnkIzh8/omhaXXZ2Pat0eZ4z85LFwAAOw== ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0003.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Exponents
We write the quantity A multiplied to itself n times as An, that is
A x A x A ….x A = =3D An
Example:
43
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Exponents
We write the quantity A multiplied to itself n times as An, that is
A x A x A ….x A = =3D An
Example:
43=3D4*4*4=3D64        = ;      
 =
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Exponents
We write the quantity A multiplied to itself n times as An, that is
A x A x A ….x A = =3D An
Example:
43=3D4*4*4=3D64        = ;      
xy2 =
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Exponents
We write the quantity A multiplied to itself n times as An, that is
A x A x A ….x A = =3D An
Example:
43=3D4*4*4=3D64        = ;      
xy2=3Dx*y*y
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Exponents
We write the quantity A multiplied to itself n times as An, that is
A x A x A ….x A = =3D An
Example:
43=3D4*4*4=3D64        = ;      
xy2=3Dx*y*y
(xy)2
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Exponents
We write the quantity A multiplied to itself n times as An, that is
A x A x A ….x A = =3D An
Example:
43=3D4*4*4=3D64        = ;      
xy2=3Dx*y*y
(xy)2=3Dxy*xy=3Dxy
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Rules of Exponents
Multiplication Rule:
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Rules of Exponents
Multiplication Rule:      A<= span lang=3DEN-US style=3D'font-size:66%;position:relative;top:-.45em;mso-text-= raise: 30%;mso-fareast-language:ZH-CN'>nAk =3DAn+k 
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Rules of Exponents
Multiplication Rule:      A<= span lang=3DEN-US style=3D'font-size:66%;position:relative;top:-.45em;mso-text-= raise: 30%;mso-fareast-language:ZH-CN'>nAk =3DAn+k 
Example:<= span style=3D'mso-spacerun:yes'>  5354
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Rules of Exponents
Multiplication Rule:      A<= span lang=3DEN-US style=3D'font-size:66%;position:relative;top:-.45em;mso-text-= raise: 30%;mso-fareast-language:ZH-CN'>nAk =3DAn+k 
Example:  5354 
  
        = ;     =3D5*5*5*5*5*5*5
        = ;    
------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0018_image004.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhOQAjAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAA2 AB8AgAAAAP///wJoDI6pq8YPgYs0zRovpno3v3XgIY5W6aEmqVbtGryQbNKMPeLWGsJ8X/u5dBLh MGc8ppIuENEHZHKi0gy1epM9ebEmltPa/sJfjEosRKHTi5h7XTNc3mWzG0Gvg7t4vv7xpgE35vdX UwAAOw== ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0019.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Rules of Exponents
Multiplication Rule:      A<= span lang=3DEN-US style=3D'font-size:66%;position:relative;top:-.45em;mso-text-= raise: 30%;mso-fareast-language:ZH-CN'>nAk =3DAn+k 
Example:  5354 
  
        = ;     =3D5*5*5*5*5*5*5
        = ;     =3D53+4 =3D 57
------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0019_image005.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhOQAjAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAA2 AB8AgAAAAP///wJoDI6pq8YPgYs0zRovpno3v3XgIY5W6aEmqVbtGryQbNKMPeLWGsJ8X/u5dBLh MGc8ppIuENEHZHKi0gy1epM9ebEmltPa/sJfjEosRKHTi5h7XTNc3mWzG0Gvg7t4vv7xpgE35vdX UwAAOw== ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0013.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Rules of Exponents
Multiplication Rule:      A<= span lang=3DEN-US style=3D'font-size:66%;position:relative;top:-.45em;mso-text-= raise: 30%;mso-fareast-language:ZH-CN'>nAk =3DAn+k 
Division Rule:      =3D A     
Example:  53= 54 = =3D 53+4 =3D 5
An
Ak
------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0013_image006.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJwAEAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAk AAIAgAAAAP///wIHjI+py+2vCgA7 ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0042.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Rules of Exponents
Multiplication Rule:      A<= span lang=3DEN-US style=3D'font-size:66%;position:relative;top:-.45em;mso-text-= raise: 30%;mso-fareast-language:ZH-CN'>nAk =3DAn+k 
Division Rule:      =3D A     
Example:  53= 54 = =3D 53+4 =3D 5
An
Ak
Example:
57
54
------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0042_image007.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJwAEAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAk AAIAgAAAAP///wIHjI+py+2vCgA7 ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0042_image008.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHgADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAAAb AAIAgAAAAP///wIGjI+py90FADs= ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0043.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Rules of Exponents
Multiplication Rule:      A<= span lang=3DEN-US style=3D'font-size:66%;position:relative;top:-.45em;mso-text-= raise: 30%;mso-fareast-language:ZH-CN'>nAk =3DAn+k 
Division Rule:      =3D A     
Example:  53= 54 = =3D 53+4 =3D 5
An
Ak
Example:        =3D      =
57
54
5*5*5*5*5*= 5*5
5*5*5*5
------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0043_image009.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJwAEAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAk AAIAgAAAAP///wIHjI+py+2vCgA7 ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0043_image010.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHgADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAAAb AAMAgAAAAP///wIIjI+py+0PTwEAOw== ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0043_image011.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhnwADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAACc AAIAgAAAAP///wIPjI+py+0Po5y02ouz3hwWADs= ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0044.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Rules of Exponents
Multiplication Rule:      A<= span lang=3DEN-US style=3D'font-size:66%;position:relative;top:-.45em;mso-text-= raise: 30%;mso-fareast-language:ZH-CN'>nAk =3DAn+k 
Division Rule:      =3D A     
Example:  53= 54 = =3D 53+4 =3D 5
An
Ak
Example:        =3D      =
57
54
5*5*5*5*5*= 5*5
5*5*5*5
------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0044_image012.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJwAEAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAk AAIAgAAAAP///wIHjI+py+2vCgA7 ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0044_image013.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHgADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAAAb AAMAgAAAAP///wIIjI+py+0PTwEAOw== ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0044_image014.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhnwADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAACc AAIAgAAAAP///wIPjI+py+0Po5y02ouz3hwWADs= ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0044_image015.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAAUAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS ABIAgAAAAP///wIiTICpC3YMkYtxUmavylqavn2g94xcd2rptVJtJZox+EJGAQA7 ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0044_image016.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhXAAwAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQBZ AC0AgAAAAP///wLXTICpu8b/HJy0KnMswzrmDlpciIwkIJ3qlYYm2a7qC9L1J89xZ/N4DttpesMf 8GYsJotH3bJCFD2bkyjFep1SPVoIttrdssIbIVPsIzfMUnTauWK7x3DdXKqm2+/ZfOLr5UcllyVD yIeYqLjI2Oj4CBkpOUlZaXnZKPgHY9gE6IEUp1k2evhnCnr0WRa6B7S61nqCCkUb++aaA8siG+Rp y4s7O7pWqrZ7+mvc60KsN8x8oywa7TOdW7usCpws7LutrUQNPi6OLRqOV67LXXLcjuLcPdNsWAAA Ow== ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0045.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Rules of Exponents
Multiplication Rule:      A<= span lang=3DEN-US style=3D'font-size:66%;position:relative;top:-.45em;mso-text-= raise: 30%;mso-fareast-language:ZH-CN'>nAk =3DAn+k 
Division Rule:      =3D A     
Example:  53= 54 = =3D 53+4 =3D 5
An
Ak
Example:        =3D        = ;            &n= bsp;        =3D 57 – 4 =3D 53=     
57
54
5*5*5*5*5*= 5*5
5*5*5*5
Power Rule:    (A<= span lang=3DEN-US style=3D'font-family:Tahoma;font-size:118%;position:relative; top:-.45em;mso-text-raise:30%;mso-fareast-language:ZH-CN'>n)k =3D Ank
------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0045_image017.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJwAEAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAk AAIAgAAAAP///wIHjI+py+2vCgA7 ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0045_image018.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHgADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAAAb AAMAgAAAAP///wIIjI+py+0PTwEAOw== ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0045_image019.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhnwADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAACc AAIAgAAAAP///wIPjI+py+0Po5y02ouz3hwWADs= ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0045_image020.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAAUAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS ABIAgAAAAP///wIiTICpC3YMkYtxUmavylqavn2g94xcd2rptVJtJZox+EJGAQA7 ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0045_image021.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhXAAwAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQBZ AC0AgAAAAP///wLXTICpu8b/HJy0KnMswzrmDlpciIwkIJ3qlYYm2a7qC9L1J89xZ/N4DttpesMf 8GYsJotH3bJCFD2bkyjFep1SPVoIttrdssIbIVPsIzfMUnTauWK7x3DdXKqm2+/ZfOLr5UcllyVD yIeYqLjI2Oj4CBkpOUlZaXnZKPgHY9gE6IEUp1k2evhnCnr0WRa6B7S61nqCCkUb++aaA8siG+Rp y4s7O7pWqrZ7+mvc60KsN8x8oywa7TOdW7usCpws7LutrUQNPi6OLRqOV67LXXLcjuLcPdNsWAAA Ow== ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0046.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Rules of Exponents
Multiplication Rule:      A<= span lang=3DEN-US style=3D'font-size:66%;position:relative;top:-.45em;mso-text-= raise: 30%;mso-fareast-language:ZH-CN'>nAk =3DAn+k 
Division Rule:      =3D A     
Example:  53= 54 = =3D 53+4 =3D 5
An
Ak
Example:        =3D        = ;            &n= bsp;        =3D 57 – 4 =3D 53=     
57
54
5*5*5*5*5*= 5*5
5*5*5*5
Power Rule:    (A<= span lang=3DEN-US style=3D'font-family:Tahoma;font-size:118%;position:relative; top:-.45em;mso-text-raise:30%;mso-fareast-language:ZH-CN'>n)k =3D Ank
Example:  (3) 
------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0046_image022.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJwAEAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAk AAIAgAAAAP///wIHjI+py+2vCgA7 ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0046_image023.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHgADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAAAb AAMAgAAAAP///wIIjI+py+0PTwEAOw== ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0046_image024.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhnwADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAACc AAIAgAAAAP///wIPjI+py+0Po5y02ouz3hwWADs= ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0046_image025.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAAUAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS ABIAgAAAAP///wIiTICpC3YMkYtxUmavylqavn2g94xcd2rptVJtJZox+EJGAQA7 ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0046_image026.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhXAAwAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQBZ AC0AgAAAAP///wLXTICpu8b/HJy0KnMswzrmDlpciIwkIJ3qlYYm2a7qC9L1J89xZ/N4DttpesMf 8GYsJotH3bJCFD2bkyjFep1SPVoIttrdssIbIVPsIzfMUnTauWK7x3DdXKqm2+/ZfOLr5UcllyVD yIeYqLjI2Oj4CBkpOUlZaXnZKPgHY9gE6IEUp1k2evhnCnr0WRa6B7S61nqCCkUb++aaA8siG+Rp y4s7O7pWqrZ7+mvc60KsN8x8oywa7TOdW7usCpws7LutrUQNPi6OLRqOV67LXXLcjuLcPdNsWAAA Ow== ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0047.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Rules of Exponents
Multiplication Rule:      A<= span lang=3DEN-US style=3D'font-size:66%;position:relative;top:-.45em;mso-text-= raise: 30%;mso-fareast-language:ZH-CN'>nAk =3DAn+k 
Division Rule:      =3D A     
Example:  53= 54 = =3D 53+4 =3D 5
An
Ak
Example:        =3D        = ;            &n= bsp;        =3D 57 – 4 =3D 53=     
57
54
5*5*5*5*5*= 5*5
5*5*5*5
Power Rule:    (A<= span lang=3DEN-US style=3D'font-family:Tahoma;font-size:118%;position:relative; top:-.45em;mso-text-raise:30%;mso-fareast-language:ZH-CN'>n)k =3D Ank
Example:  (3)=3D 33
------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0047_image027.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJwAEAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAk AAIAgAAAAP///wIHjI+py+2vCgA7 ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0047_image028.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHgADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAAAb AAMAgAAAAP///wIIjI+py+0PTwEAOw== ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0047_image029.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhnwADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAACc AAIAgAAAAP///wIPjI+py+0Po5y02ouz3hwWADs= ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0047_image030.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAAUAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS ABIAgAAAAP///wIiTICpC3YMkYtxUmavylqavn2g94xcd2rptVJtJZox+EJGAQA7 ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0047_image031.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhXAAwAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQBZ AC0AgAAAAP///wLXTICpu8b/HJy0KnMswzrmDlpciIwkIJ3qlYYm2a7qC9L1J89xZ/N4DttpesMf 8GYsJotH3bJCFD2bkyjFep1SPVoIttrdssIbIVPsIzfMUnTauWK7x3DdXKqm2+/ZfOLr5UcllyVD yIeYqLjI2Oj4CBkpOUlZaXnZKPgHY9gE6IEUp1k2evhnCnr0WRa6B7S61nqCCkUb++aaA8siG+Rp y4s7O7pWqrZ7+mvc60KsN8x8oywa7TOdW7usCpws7LutrUQNPi6OLRqOV67LXXLcjuLcPdNsWAAA Ow== ------=_NextPart_01C82DE4.ACAE5A00 Content-Location: file:///C:/E51446F3/6FractionallExponents_files/slide0048.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Rules of Exponents
Multiplication Rule:      A<= span lang=3DEN-US style=3D'font-size:66%;position:relative;top:-.45em;mso-text-= raise: 30%;mso-fareast-language:ZH-CN'>nAk =3DAn+k 
Division Rule:      =3D A     
Example:  53= 54 = =3D 53+4 =3D 5
An
Ak
Example:        =3D        = ;            &n= bsp;        =3D 57 – 4 =3D 53=     
57
54
5*5*5*5*5*= 5*5
5*5*5*5
Power Rule:    (A<= span lang=3DEN-US style=3D'font-family:Tahoma;font-size:118%;position:relative; top:-.45em;mso-text-raise:30%;mso-fareast-language:ZH-CN'>n)k =3D Ank
Example:  (3)=3D 33=3D 3
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Rules of Exponents
Multiplication Rule:      A<= span lang=3DEN-US style=3D'font-size:66%;position:relative;top:-.45em;mso-text-= raise: 30%;mso-fareast-language:ZH-CN'>nAk =3DAn+k 
Division Rule:      =3D A     
Example:  53= 54 = =3D 53+4 =3D 5
An
Ak
Example:        =3D        = ;            &n= bsp;        =3D 57 – 4 =3D 53=     
57
54
5*5*5*5*5*= 5*5
5*5*5*5
Power Rule:    (A<= span lang=3DEN-US style=3D'font-family:Tahoma;font-size:118%;position:relative; top:-.45em;mso-text-raise:30%;mso-fareast-language:ZH-CN'>n)k =3D Ank
Example:  (3)=3D 33=3D 3=3D 3
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Rules of Exponents
Multiplication Rule:      A<= span lang=3DEN-US style=3D'font-size:66%;position:relative;top:-.45em;mso-text-= raise: 30%;mso-fareast-language:ZH-CN'>nAk =3DAn+k 
Division Rule:      =3D A     
Example:  53= 54 = =3D 53+4 =3D 5
An
Ak
Example:        =3D        = ;            &n= bsp;        =3D 57 – 4 =3D 53=     
57
54
5*5*5*5*5*= 5*5
5*5*5*5
Power Rule:    (A<= span lang=3DEN-US style=3D'font-family:Tahoma;font-size:118%;position:relative; top:-.45em;mso-text-raise:30%;mso-fareast-language:ZH-CN'>n)k =3D Ank
Example:  (3)=3D 33=3D 3=3D 3=3D 3 
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Special Rules of Exponents
0-power R= ule :  A0=3D1 &nb= sp; (A=3D0)
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Special Rules of Exponents
0-pow= er Rule :  A0=3D1<= span style=3D'mso-spacerun:yes'>   (A=3D0)
1 =3D
A1
A1
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Special Rules of Exponents
0-pow= er Rule :  A0=3D1<= span style=3D'mso-spacerun:yes'>   (A=3D0)
1 =3D      =3D A1–1
A1
A1
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Special Rules of Exponents
0-pow= er Rule :  A0=3D1<= span style=3D'mso-spacerun:yes'>   (A=3D0)
1 =3D      =3D A1–1 =3D A0  
A1
A1
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Special Rules of Exponents
0-pow= er Rule :  A0=3D1<= span style=3D'mso-spacerun:yes'>   (A=3D0)
1 =3D      =3D A1–1 =3D A0  
Negat= ive Power Rule :  A-k =3D
    <= span lang=3DEN-US style=3D'font-size:118%;text-shadow:auto;color:#FF6600;positi= on:relative; top:-.45em;mso-text-raise:30%;mso-fareast-language:ZH-CN;mso-special-forma= t: lastCR;display:none'>
A1
A1
1
Ak
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Special Rules of Exponents
0-pow= er Rule :  A0=3D1<= span style=3D'mso-spacerun:yes'>   (A=3D0)
1 =3D      =3D A1–1 =3D A0  
Negat= ive Power Rule :  A-k =3D
      =3D
A1
A1
1
Ak
1
Ak
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Special Rules of Exponents
0-pow= er Rule :  A0=3D1<= span style=3D'mso-spacerun:yes'>   (A=3D0)
1 =3D      =3D A1–1 =3D A0  
Negat= ive Power Rule :  A-k =3D
      =3D
A1
A1
1
Ak
1
Ak
A0
Ak
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Special Rules of Exponents
0-pow= er Rule :  A0=3D1<= span style=3D'mso-spacerun:yes'>   (A=3D0)
1 =3D      =3D A1–1 =3D A0  
Negat= ive Power Rule :  A-k =3D
      =3D     &= nbsp; =3D A0–k
A1
A1
1
Ak
1
Ak