What is ((4x^2y)/(x^{-5)})^{-3} ?

The solution to ((4x^2y)/(x^{-5)})^{-3} is 1/(64x^{21)y^3}

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simplify ((4x^2y)/(x^{-5)})^{-3}

simplify

(\frac{4 x ^{2} y}{x ^{- 5}})^{- 3}

\frac{1}{64 x ^{21} y ^{3}}

Solution steps

(\frac{4 x ^{2} y}{x ^{- 5}})^{- 3}

Apply exponent rule:

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

(\frac{4 x ^{2} y}{x ^{- 5}})^{- 3} = \frac{1}{( \frac{4 x ^{2} y}{x ^{- 5}} ) ^{3}}

= \frac{1}{( \frac{4 x ^{2} y}{x ^{- 5}} ) ^{3}}

Simplify

(\frac{4 x ^{2} y}{x ^{- 5}})^{3} : 64 x^{21} y^{3}

= \frac{1}{64 x ^{21} y ^{3}}

3 < - 2 x - 5 < 15

x^{2} - 3 x - 16 = - 6

\frac{3 - 4}{3 + 4}

m^{2} - 8 m

What is ((4x^2y)/(x^{-5)})^{-3} ?
The solution to ((4x^2y)/(x^{-5)})^{-3} is 1/(64x^{21)y^3}