What is ((5x^3)/(y^2))^{-3} ?

The solution to ((5x^3)/(y^2))^{-3} is (y^6)/(125x^9)

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simplify ((5x^3)/(y^2))^{-3}

simplify

(\frac{5 x ^{3}}{y ^{2}})^{- 3}

\frac{y ^{6}}{125 x ^{9}}

Solution steps

(\frac{5 x ^{3}}{y ^{2}})^{- 3}

Apply exponent rule:

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

(\frac{5 x ^{3}}{y ^{2}})^{- 3} = \frac{1}{( \frac{5 x ^{3}}{y ^{2}} ) ^{3}}

= \frac{1}{( \frac{5 x ^{3}}{y ^{2}} ) ^{3}}

Simplify

(\frac{5 x ^{3}}{y ^{2}})^{3} : \frac{125 x ^{9}}{y ^{6}}

= \frac{1}{\frac{125 x ^{9}}{y ^{6}}}

Apply the fraction rule:

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

= \frac{y ^{6}}{125 x ^{9}}

x^{2} x^{- 12}

- 2 y^{3} + 3 y - 3 y + 7 y^{3} + 1 + 2 - 5

\frac{5}{2} - \frac{11}{3}

2196

\frac{x ^{30}}{x ^{- 10}}

What is ((5x^3)/(y^2))^{-3} ?
The solution to ((5x^3)/(y^2))^{-3} is (y^6)/(125x^9)