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Popular >

simplify (6m^3)/((3m^3)^3)

Solution

simplify

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

Solution

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

Solution steps

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

Simplify

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

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

Factor the number:

6 = 3 \cdot 2

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

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

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

Simplify

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

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

3^{2} = 9

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

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Frequently Asked Questions (FAQ)

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