What is ((3wx^{-4}y^5)/(w^{-3)})^{-4} ?

The solution to ((3wx^{-4}y^5)/(w^{-3)})^{-4} is (x^{16})/(81w^{16)y^{20}}

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simplify ((3wx^{-4}y^5)/(w^{-3)})^{-4}

simplify

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

\frac{x ^{16}}{81 w ^{16} y ^{20}}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

(\frac{3 w x ^{- 4} y ^{5}}{w ^{- 3}})^{4} : \frac{81 w ^{16} y ^{20}}{x ^{16}}

= \frac{1}{\frac{81 w ^{16} y ^{20}}{x ^{16}}}

Apply the fraction rule:

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

= \frac{x ^{16}}{81 w ^{16} y ^{20}}

- 2 < x < 3

1 + \frac{0.06}{365}

\frac{17}{11} = \frac{u}{13}

3 x^{2} - 6 x + 4 = 0

4 \cdot (\frac{1}{2})^{0}

What is ((3wx^{-4}y^5)/(w^{-3)})^{-4} ?
The solution to ((3wx^{-4}y^5)/(w^{-3)})^{-4} is (x^{16})/(81w^{16)y^{20}}