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Popular >

simplify (6z^3)/((3z^3)^3)

Solution

simplify

\frac{6 z ^{3}}{( 3 z ^{3} ) ^{3}}

Solution

\frac{2}{9 z ^{6}}

Solution steps

\frac{6 z ^{3}}{( 3 z ^{3} ) ^{3}}

Simplify

(3 z^{3})^{3} : 3^{3} z^{9}

= \frac{6 z ^{3}}{3 ^{3} z ^{9}}

Factor the number:

6 = 3 \cdot 2

= \frac{3 \cdot 2 z ^{3}}{3 ^{3} z ^{9}}

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

= \frac{2 z ^{3}}{3 ^{2} z ^{9}}

Simplify

\frac{z ^{3}}{z ^{9}} : \frac{1}{z ^{6}}

= \frac{2}{3 ^{2} z ^{6}}

3^{2} = 9

= \frac{2}{9 z ^{6}}

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Frequently Asked Questions (FAQ)

What is (6z^3)/((3z^3)^3) ?
The solution to (6z^3)/((3z^3)^3) is 2/(9z^6)