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Popular >

simplify (4/(2n))^3

Solution

simplify

(\frac{4}{2 n})^{3}

Solution

\frac{8}{n ^{3}}

Solution steps

(\frac{4}{2 n})^{3}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{4 ^{3}}{( 2 n ) ^{3}}

4^{3} = 64

= \frac{64}{( 2 n ) ^{3}}

Simplify

(2 n)^{3} : 8 n^{3}

= \frac{64}{8 n ^{3}}

Divide the numbers:

\frac{64}{8} = 8

= \frac{8}{n ^{3}}

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Frequently Asked Questions (FAQ)

What is (4/(2n))^3 ?
The solution to (4/(2n))^3 is 8/(n^3)