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

The solution to ((x^{-4})/(y^3))^{-4} is x^{16}y^{12}

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

simplify

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

x^{16} y^{12}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

(\frac{x ^{- 4}}{y ^{3}})^{4} : \frac{1}{x ^{16} y ^{12}}

= \frac{1}{\frac{1}{x ^{16} y ^{12}}}

Simplify

\frac{1}{\frac{1}{x ^{16} y ^{12}}} : x^{16} y^{12}

= x^{16} y^{12}

49 x^{2} \cdot y^{6} \cdot z^{10} - a^{12}

0 x - x

a^{4} - b^{4} + 2 b^{2} - 1

\frac{( x ^{2} + 1 - 7 x ) - ( x + 2 )}{x - 1}

(x - y)^{2} - 9

What is ((x^{-4})/(y^3))^{-4} ?
The solution to ((x^{-4})/(y^3))^{-4} is x^{16}y^{12}