Pertanyaan

J1ka x = 25 dan y = 64, maka nilai y 3 1 − x 2 1 x − 2 3 . 3 y 2 = ...

J1ka x = 25 dan y = 64, maka nilai $\frac{x ^{- \frac{3}{2}} . 3 y ^{2}}{y ^{\frac{1}{3}} - x ^{\frac{1}{2}}} = ...$

-2.000
2.000

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Klaim

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

$fraction numerator x to the power of negative begin display style 3 over 2 end style end exponent. cube root of y squared end root over denominator y to the power of begin display style 1 third end style end exponent minus x to the power of begin display style 1 half end style end exponent end fraction equals fraction numerator 25 to the power of negative begin display style 3 over 2 end style end exponent. cube root of 64 squared end root over denominator 64 to the power of begin display style 1 third end style end exponent minus 25 to the power of begin display style 1 half end style end exponent end fraction equals fraction numerator open parentheses 5 squared close parentheses to the power of negative begin display style 3 over 2 end style end exponent. left parenthesis left parenthesis 2 to the power of 6 right parenthesis squared right parenthesis to the power of begin display style 1 third end style end exponent over denominator open parentheses 2 to the power of 6 close parentheses to the power of begin display style 1 third end style end exponent minus left parenthesis 5 squared right parenthesis to the power of begin display style 1 half end style end exponent end fraction equals fraction numerator 5 to the power of negative 3 end exponent.2 to the power of 4 over denominator 2 squared minus 5 end fraction equals fraction numerator 5 to the power of begin display style 1 third end style.16 end exponent over denominator 4 minus 5 end fraction equals negative 16 over 125$