What is (20z^{10})/((5z^{-2))^3} ?

The solution to (20z^{10})/((5z^{-2))^3} is (4z^{16})/(25)

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simplify (20z^{10})/((5z^{-2))^3}

simplify

\frac{20 z ^{10}}{( 5 z ^{- 2} ) ^{3}}

\frac{4 z ^{16}}{25}

Solution steps

\frac{20 z ^{10}}{( 5 z ^{- 2} ) ^{3}}

Simplify

(5 z^{- 2})^{3} : 5^{3} \cdot \frac{1}{z ^{6}}

= \frac{20 z ^{10}}{5 ^{3} \cdot \frac{1}{z ^{6}}}

Factor the number:

20 = 5 \cdot 4

= \frac{5 \cdot 4 z ^{10}}{5 ^{3} \cdot \frac{1}{z ^{6}}}

\frac{5}{5 ^{3}} = \frac{1}{5 ^{2}}

= \frac{4 z ^{10}}{5 ^{2} \cdot \frac{1}{z ^{6}}}

Simplify

\frac{4 z ^{10}}{5 ^{2} \cdot \frac{1}{z ^{6}}} : \frac{4 z ^{16}}{25}

= \frac{4 z ^{16}}{25}

\frac{2}{3} x^{6}

(x - 2) + (\frac{1}{x})

(x^{4} + x^{3} + x^{2} + x + 1)^{4}

5^{2} \cdot π

What is (20z^{10})/((5z^{-2))^3} ?
The solution to (20z^{10})/((5z^{-2))^3} is (4z^{16})/(25)