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Popular >

simplify (n^2)^3*n^{-10}

Solution

simplify

(n^{2})^{3} \cdot n^{- 10}

Solution

\frac{1}{n ^{4}}

Solution steps

(n^{2})^{3} n^{- 10}

Simplify

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

= n^{6} n^{- 10}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

n^{- 10} = \frac{1}{n ^{10}}

= n^{6} \frac{1}{n ^{10}}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{n ^{6} \cdot 1}{n ^{10}}

Apply rule:

a \cdot 1 = a

n^{6} \cdot 1 = n^{6}

= \frac{n ^{6}}{n ^{10}}

Simplify

\frac{n ^{6}}{n ^{10}} : \frac{1}{n ^{4}}

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

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Frequently Asked Questions (FAQ)

What is (n^2)^3*n^{-10} ?
The solution to (n^2)^3*n^{-10} is 1/(n^4)