What is ((-4x^4y^{-2})/(5x^{-1)y^4})^{-4} ?

The solution to ((-4x^4y^{-2})/(5x^{-1)y^4})^{-4} is (625y^{24})/(256x^{20)}

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simplify ((-4x^4y^{-2})/(5x^{-1)y^4})^{-4}

simplify

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

\frac{625 y ^{24}}{256 x ^{20}}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

(\frac{- 4 x ^{4} y ^{- 2}}{5 x ^{- 1} y ^{4}})^{4} : \frac{256 x ^{20}}{625 y ^{24}}

= \frac{1}{\frac{256 x ^{20}}{625 y ^{24}}}

Apply the fraction rule:

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

= \frac{625 y ^{24}}{256 x ^{20}}

4 \cdot (- 7)

(3 x - 2)^{6}

- 90 x + 225 x^{2} + 9

5 m^{2} - 45 n^{2}

\frac{2 x ^{2} - x - 6}{x ^{2} - 4}

What is ((-4x^4y^{-2})/(5x^{-1)y^4})^{-4} ?
The solution to ((-4x^4y^{-2})/(5x^{-1)y^4})^{-4} is (625y^{24})/(256x^{20)}