What is ((r^2t^{-3})/(r^{-3)t^5})^{-8} ?

The solution to ((r^2t^{-3})/(r^{-3)t^5})^{-8} is (t^{64})/(r^{40)}

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simplify ((r^2t^{-3})/(r^{-3)t^5})^{-8}

simplify

(\frac{r ^{2} t ^{- 3}}{r ^{- 3} t ^{5}})^{- 8}

\frac{t ^{64}}{r ^{40}}

Solution steps

(\frac{r ^{2} t ^{- 3}}{r ^{- 3} t ^{5}})^{- 8}

Apply exponent rule:

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

(\frac{r ^{2} t ^{- 3}}{r ^{- 3} t ^{5}})^{- 8} = \frac{1}{( \frac{r ^{2} t ^{- 3}}{r ^{- 3} t ^{5}} ) ^{8}}

= \frac{1}{( \frac{r ^{2} t ^{- 3}}{r ^{- 3} t ^{5}} ) ^{8}}

Simplify

(\frac{r ^{2} t ^{- 3}}{r ^{- 3} t ^{5}})^{8} : \frac{r ^{40}}{t ^{64}}

= \frac{1}{\frac{r ^{40}}{t ^{64}}}

Apply the fraction rule:

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

= \frac{t ^{64}}{r ^{40}}

\frac{10}{3}

3 v + 4 > - 2 or 4 v - 2 < 10

5 - 4 x > - 4

19 - \frac{x}{4} = 15

5000

What is ((r^2t^{-3})/(r^{-3)t^5})^{-8} ?
The solution to ((r^2t^{-3})/(r^{-3)t^5})^{-8} is (t^{64})/(r^{40)}