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Popular >

simplify (-2^{-1}x^{-n})^{-3}

Solution

simplify

(- 2^{- 1} x^{- n})^{- 3}

Solution

- 8 x^{3 n}

Solution steps

(- 2^{- 1} x^{- n})^{- 3}

Apply exponent rule:

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

(- 2^{- 1} x^{- n})^{- 3} = \frac{1}{( - 2 ^{- 1} x ^{- n} ) ^{3}}

= \frac{1}{( - 2 ^{- 1} x ^{- n} ) ^{3}}

Simplify

(- 2^{- 1} x^{- n})^{3} : - \frac{1}{8 x ^{3 n}}

= \frac{1}{- \frac{1}{8 x ^{3 n}}}

Simplify

\frac{1}{- \frac{1}{8 x ^{3 n}}} : - 8 x^{3 n}

= - 8 x^{3 n}

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Frequently Asked Questions (FAQ)

What is (-2^{-1}x^{-n})^{-3} ?
The solution to (-2^{-1}x^{-n})^{-3} is -8x^{3n}