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Popular >

simplify (10z^5)/((5z^3)^2)

Solution

simplify

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

Solution

\frac{2}{5 z}

Solution steps

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

Simplify

(5 z^{3})^{2} : 5^{2} z^{6}

= \frac{10 z ^{5}}{5 ^{2} z ^{6}}

Factor the number:

10 = 5 \cdot 2

= \frac{5 \cdot 2 z ^{5}}{5 ^{2} z ^{6}}

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

= \frac{2 z ^{5}}{5 z ^{6}}

Simplify

\frac{z ^{5}}{z ^{6}} : \frac{1}{z}

= \frac{2}{5 z}

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Frequently Asked Questions (FAQ)

What is (10z^5)/((5z^3)^2) ?
The solution to (10z^5)/((5z^3)^2) is 2/(5z)