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Popular >

simplify (6n^2)/((3n)^5)

Solution

simplify

\frac{6 n ^{2}}{( 3 n ) ^{5}}

Solution

\frac{2}{81 n ^{3}}

Solution steps

\frac{6 n ^{2}}{( 3 n ) ^{5}}

Apply exponent rule:

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

(3 n)^{5} = 3^{5} n^{5}

= \frac{6 n ^{2}}{3 ^{5} n ^{5}}

Factor the number:

6 = 3 \cdot 2

= \frac{3 \cdot 2 n ^{2}}{3 ^{5} n ^{5}}

\frac{3}{3 ^{5}} = \frac{1}{3 ^{4}}

= \frac{2 n ^{2}}{3 ^{4} n ^{5}}

Simplify

\frac{n ^{2}}{n ^{5}} : \frac{1}{n ^{3}}

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

3^{4} = 81

= \frac{2}{81 n ^{3}}

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Frequently Asked Questions (FAQ)

What is (6n^2)/((3n)^5) ?
The solution to (6n^2)/((3n)^5) is 2/(81n^3)