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

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

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

simplify

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

\frac{125}{y ^{3} x ^{6}}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

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

= \frac{1}{\frac{y ^{3} x ^{6}}{125}}

Apply the fraction rule:

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

= \frac{125}{y ^{3} x ^{6}}

12 + 6

m^{2} + 2 m + 2 = 0

x^{5} y^{- 2}

\frac{e ^{2 x + 3}}{2 - x} < 0

(a^{- \frac{1}{2}})^{3}

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