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

The solution to ((x^{-4})/(y^4))^{-5} is x^{20}y^{20}

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

simplify

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

x^{20} y^{20}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

(\frac{x ^{- 4}}{y ^{4}})^{5} : \frac{1}{x ^{20} y ^{20}}

= \frac{1}{\frac{1}{x ^{20} y ^{20}}}

Simplify

\frac{1}{\frac{1}{x ^{20} y ^{20}}} : x^{20} y^{20}

= x^{20} y^{20}

4 - 4 (3^{n}) + (3^{2})^{n}

lo g_{10} (a^{3}) b^{2} c^{5}

cos^{4} (a) - sin^{4} (a)

(x + 0.3) (y + 0.2)

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

What is ((x^{-4})/(y^4))^{-5} ?
The solution to ((x^{-4})/(y^4))^{-5} is x^{20}y^{20}