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Popular >

simplify (-x/(2x^3))^{-2}

Solution

simplify

(- \frac{x}{2 x ^{3}})^{- 2}

Solution

4 x^{4}

Solution steps

(- \frac{x}{2 x ^{3}})^{- 2}

Apply exponent rule:

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

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

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

Simplify

(- \frac{x}{2 x ^{3}})^{2} : \frac{1}{4 x ^{4}}

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

Simplify

\frac{1}{\frac{1}{4 x ^{4}}} : 4 x^{4}

= 4 x^{4}

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Frequently Asked Questions (FAQ)

What is (-x/(2x^3))^{-2} ?
The solution to (-x/(2x^3))^{-2} is 4x^4