What is ((4x^5)/(y^{-2)})^{-2} ?

The solution to ((4x^5)/(y^{-2)})^{-2} is 1/(16x^{10)y^4}

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simplify ((4x^5)/(y^{-2)})^{-2}

simplify

(\frac{4 x ^{5}}{y ^{- 2}})^{- 2}

\frac{1}{16 x ^{10} y ^{4}}

Solution steps

(\frac{4 x ^{5}}{y ^{- 2}})^{- 2}

Apply exponent rule:

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

(\frac{4 x ^{5}}{y ^{- 2}})^{- 2} = \frac{1}{( \frac{4 x ^{5}}{y ^{- 2}} ) ^{2}}

= \frac{1}{( \frac{4 x ^{5}}{y ^{- 2}} ) ^{2}}

Simplify

(\frac{4 x ^{5}}{y ^{- 2}})^{2} : 16 x^{10} y^{4}

= \frac{1}{16 x ^{10} y ^{4}}

x^{4} + 15 x^{2} - 76

(- 2 y)^{2} \cdot 3 y^{4}

\frac{( x - 1 )}{( x )}

\frac{6 ^{3 x}}{( 2 ^{3 x} ) \cdot 9 ^{- 2 x}}

27 g^{3} - h^{3}

What is ((4x^5)/(y^{-2)})^{-2} ?
The solution to ((4x^5)/(y^{-2)})^{-2} is 1/(16x^{10)y^4}