What is ((32x^5)/(243y^{20)})^{-3/5} ?

The solution to ((32x^5)/(243y^{20)})^{-3/5} is (27y^{12})/(8x^3)

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simplify ((32x^5)/(243y^{20)})^{-3/5}

simplify

(\frac{32 x ^{5}}{243 y ^{20}})^{- \frac{3}{5}}

\frac{27 y ^{12}}{8 x ^{3}}

Solution steps

(\frac{32 x ^{5}}{243 y ^{20}})^{- \frac{3}{5}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

(\frac{32 x ^{5}}{243 y ^{20}})^{- \frac{3}{5}} = \frac{1}{( \frac{32 x ^{5}}{243 y ^{20}} ) ^{\frac{3}{5}}}

= \frac{1}{( \frac{32 x ^{5}}{243 y ^{20}} ) ^{\frac{3}{5}}}

Simplify

(\frac{32 x ^{5}}{243 y ^{20}})^{\frac{3}{5}} : \frac{8 x ^{3}}{27 y ^{12}}

= \frac{1}{\frac{8 x ^{3}}{27 y ^{12}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{27 y ^{12}}{8 x ^{3}}

x^{2} - 2 x - 80

\frac{6}{6 + i}

\frac{4.592}{4}

6 n^{2} + 5 n + 1

What is ((32x^5)/(243y^{20)})^{-3/5} ?
The solution to ((32x^5)/(243y^{20)})^{-3/5} is (27y^{12})/(8x^3)