What is (3r^{-7})/(-3(r^{-2))^5} ?

The solution to (3r^{-7})/(-3(r^{-2))^5} is -r^3

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simplify (3r^{-7})/(-3(r^{-2))^5}

simplify

\frac{3 r ^{- 7}}{- 3 ( r ^{- 2} ) ^{5}}

- r^{3}

Solution steps

\frac{3 r ^{- 7}}{- 3 ( r ^{- 2} ) ^{5}}

Simplify

(r^{- 2})^{5} : \frac{1}{r ^{10}}

= \frac{3 r ^{- 7}}{- 3 \cdot \frac{1}{r ^{10}}}

Cancel the common factor:

3

= \frac{r ^{- 7}}{- \frac{1}{r ^{10}}}

Simplify

\frac{r ^{- 7}}{- \frac{1}{r ^{10}}} : - r^{3}

= - r^{3}

- \frac{9}{8} + \frac{6}{11}

\frac{3}{3 - 1}

(- 82) + (- 30)

(- 82) + (- 35)

5 x + 15 y

What is (3r^{-7})/(-3(r^{-2))^5} ?
The solution to (3r^{-7})/(-3(r^{-2))^5} is -r^3