What is (r^{-3}*s^4)^{-4} ?

The solution to (r^{-3}*s^4)^{-4} is (r^{12})/(s^{16)}

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simplify (r^{-3}*s^4)^{-4}

simplify

(r^{- 3} \cdot s^{4})^{- 4}

\frac{r ^{12}}{s ^{16}}

Solution steps

(r^{- 3} s^{4})^{- 4}

Apply exponent rule:

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

(r^{- 3} s^{4})^{- 4} = \frac{1}{( r ^{- 3} s ^{4} ) ^{4}}

= \frac{1}{( r ^{- 3} s ^{4} ) ^{4}}

Simplify

(r^{- 3} s^{4})^{4} : \frac{s ^{16}}{r ^{12}}

= \frac{1}{\frac{s ^{16}}{r ^{12}}}

Apply the fraction rule:

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

= \frac{r ^{12}}{s ^{16}}

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What is (r^{-3}*s^4)^{-4} ?
The solution to (r^{-3}*s^4)^{-4} is (r^{12})/(s^{16)}