What is (6z^8)/(-2(z^{-3))^5} ?

The solution to (6z^8)/(-2(z^{-3))^5} is -3z^{23}

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simplify (6z^8)/(-2(z^{-3))^5}

simplify

\frac{6 z ^{8}}{- 2 ( z ^{- 3} ) ^{5}}

- 3 z^{23}

Solution steps

\frac{6 z ^{8}}{- 2 ( z ^{- 3} ) ^{5}}

Simplify

(z^{- 3})^{5} : \frac{1}{z ^{15}}

= \frac{6 z ^{8}}{- 2 \cdot \frac{1}{z ^{15}}}

Factor the number:

6 = 2 \cdot 3

= \frac{2 \cdot 3 z ^{8}}{- 2 \cdot \frac{1}{z ^{15}}}

Cancel the common factor:

2

= \frac{3 z ^{8}}{- \frac{1}{z ^{15}}}

Simplify

\frac{3 z ^{8}}{- \frac{1}{z ^{15}}} : - 3 z^{23}

= - 3 z^{23}

\frac{10}{13} \div \frac{4}{9}

0 - (- 7)

\frac{6}{12} - \frac{3}{10}

(9 z^{3})^{- 2} y

18 x^{6} y^{5}

What is (6z^8)/(-2(z^{-3))^5} ?
The solution to (6z^8)/(-2(z^{-3))^5} is -3z^{23}