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Popular >

simplify (6v^{10})/((3v)^4)

Solution

simplify

\frac{6 v ^{10}}{( 3 v ) ^{4}}

Solution

\frac{2 v ^{6}}{27}

Solution steps

\frac{6 v ^{10}}{( 3 v ) ^{4}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(3 v)^{4} = 3^{4} v^{4}

= \frac{6 v ^{10}}{3 ^{4} v ^{4}}

Factor the number:

6 = 3 \cdot 2

= \frac{3 \cdot 2 v ^{10}}{3 ^{4} v ^{4}}

\frac{3}{3 ^{4}} = \frac{1}{3 ^{3}}

= \frac{2 v ^{10}}{3 ^{3} v ^{4}}

Simplify

\frac{v ^{10}}{v ^{4}} : v^{6}

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

3^{3} = 27

= \frac{2 v ^{6}}{27}

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Frequently Asked Questions (FAQ)

What is (6v^{10})/((3v)^4) ?
The solution to (6v^{10})/((3v)^4) is (2v^6)/(27)