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Popular >

simplify ((3r^2)^3)/(6r^4)

Solution

simplify

\frac{( 3 r ^{2} ) ^{3}}{6 r ^{4}}

Solution

\frac{9 r ^{2}}{2}

Solution steps

\frac{( 3 r ^{2} ) ^{3}}{6 r ^{4}}

Simplify

(3 r^{2})^{3} : 3^{3} r^{6}

= \frac{3 ^{3} r ^{6}}{6 r ^{4}}

Factor the number:

6 = 3 \cdot 2

= \frac{3 ^{3} r ^{6}}{3 \cdot 2 r ^{4}}

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

= \frac{3 ^{2} r ^{6}}{2 r ^{4}}

Simplify

\frac{r ^{6}}{r ^{4}} : r^{2}

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

3^{2} = 9

= \frac{9 r ^{2}}{2}

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Frequently Asked Questions (FAQ)

What is ((3r^2)^3)/(6r^4) ?
The solution to ((3r^2)^3)/(6r^4) is (9r^2)/2