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Hasil dari adalah ....

Hasil dari begin mathsize 14px style fraction numerator open parentheses 8 to the power of negative 3 over 5 end exponent space 9 to the power of 5 over 4 end exponent close parentheses over denominator open parentheses 81 to the power of negative 1 over 8 end exponent.64 to the power of 1 fifth end exponent close parentheses end fraction end style adalah ....

  1. begin mathsize 14px style 27 over 2 end style

  2. begin mathsize 14px style 9 over 2 end style

  3. begin mathsize 14px style 27 over 8 end style

  4. begin mathsize 14px style 9 over 8 end style

  5. begin mathsize 14px style 8 over 27 end style

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Y. Laksmi

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begin mathsize 14px style straight i right parenthesis Sederhanakan space bentuk minus bentuk space tersebut space menjadi space bentuk space perpangkatan space  space space space dengan space basis space terendah  space space space fraction numerator open parentheses 8 to the power of negative 3 over 5 end exponent space 9 to the power of 5 over 4 end exponent close parentheses over denominator open parentheses 81 to the power of negative 1 over 8 end exponent.64 to the power of 1 fifth end exponent close parentheses end fraction equals fraction numerator open parentheses open parentheses 2 cubed close parentheses to the power of negative 3 over 5 end exponent. open parentheses 3 squared close parentheses to the power of 5 over 4 end exponent close parentheses over denominator open parentheses open parentheses 3 to the power of 4 close parentheses to the power of negative 1 over 8 end exponent. open parentheses 2 to the power of 6 close parentheses to the power of 1 fifth end exponent close parentheses end fraction    ii right parenthesis Gunakan space sifat minus sifat space perpangkatan comma space yaitu  space space space space open parentheses straight a to the power of straight p close parentheses to the power of straight q equals straight a to the power of pq  space space space space straight a to the power of straight p over straight a to the power of straight q equals straight a to the power of straight p minus straight q end exponent  space space space space straight a to the power of negative straight p end exponent equals 1 over straight a to the power of straight p    fraction numerator open parentheses open parentheses 2 cubed close parentheses to the power of negative 3 over 5 end exponent. open parentheses 3 squared close parentheses to the power of 5 over 4 end exponent close parentheses over denominator open parentheses open parentheses 3 to the power of 4 close parentheses to the power of negative 1 over 8 end exponent. open parentheses 2 to the power of 6 close parentheses to the power of 1 fifth end exponent close parentheses end fraction  equals fraction numerator open parentheses 2 to the power of 3 open parentheses negative 3 over 5 close parentheses end exponent.3 to the power of 2.5 over 4 end exponent close parentheses over denominator open parentheses 3 to the power of 4 open parentheses negative 1 over 8 close parentheses end exponent.2 to the power of 6.1 fifth end exponent close parentheses end fraction  equals fraction numerator open parentheses 2 to the power of negative 9 over 5 end exponent.3 to the power of 5 over 2 end exponent close parentheses over denominator open parentheses 3 to the power of negative 1 half end exponent.2 to the power of 6 over 5 end exponent close parentheses end fraction  equals fraction numerator 2 to the power of negative 9 over 5 end exponent.3 to the power of 5 over 2 end exponent over denominator 2 to the power of 6 over 5 end exponent.3 to the power of negative 1 half end exponent end fraction space  equals 2 to the power of negative 9 over 5 minus 6 over 5 end exponent.3 to the power of 5 over 2 minus open parentheses negative 1 half close parentheses end exponent  equals 2 to the power of negative 15 over 5 end exponent.3 to the power of 6 over 2 end exponent  equals 2 to the power of negative 3 end exponent.3 cubed  equals 3 cubed over 2 cubed equals 27 over 8 end style

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