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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 ....

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Y. Laksmi

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Mahasiswa/Alumni Universitas Negeri Semarang

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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$