Pertanyaan

Hasil pemangkatan dari ( a 4 9 : a 4 3 ) − 5 = .....

Hasil pemangkatan dari $(a^{\frac{9}{4}} : a^{\frac{3}{4}})^{- 5}$ = .....

$negative fraction numerator 1 over denominator straight a to the power of 7 space square root of straight a end fraction$
$fraction numerator 1 over denominator straight a space square root of 7 straight a end root end fraction$
$fraction numerator 1 over denominator root index 7 of straight a end fraction$
$fraction numerator 1 over denominator straight a to the power of 7 space square root of straight a end fraction$

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Hasil pemangkatannya adalah

$open parentheses straight a to the power of 9 over 4 end exponent space colon space straight a to the power of 3 over 4 end exponent close parentheses to the power of negative 5 end exponent equals open parentheses straight a to the power of 9 over 4 minus 3 over 4 end exponent close parentheses to the power of negative 5 end exponent space space space space space space space space space space space space space space space space space space space space equals open parentheses straight a to the power of 6 over 4 end exponent close parentheses to the power of negative 5 end exponent space space space space space space space space space space space space space space space space space space space space equals open parentheses straight a to the power of 3 over 2 end exponent close parentheses to the power of negative 5 end exponent space space space space space space space space space space space space space space space space space space space space equals straight a to the power of negative 15 over 2 end exponent space space space space space space space space space space space space space space space space space space space space equals 1 over straight a to the power of begin display style 15 over 2 end style end exponent space space space space space space space space space space space space space space space space space space space space equals 1 over straight a to the power of begin display style 7 1 half end style end exponent space space space space space space space space space space space space space space space space space space space space equals fraction numerator 1 over denominator straight a to the power of 7 space square root of straight a end fraction$