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Popular >

expand (x^{-1})^2

Solution

expand

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

Solution

\frac{1}{x ^{2}}

Solution steps

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

Apply exponent rule:

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

= x^{(- 1) \cdot 2}

(- 1) \cdot 2 = - 2

= x^{- 2}

Apply exponent rule:

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

= \frac{1}{x ^{2}}

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Frequently Asked Questions (FAQ)

What is expand (x^{-1})^2 ?
The solution to expand (x^{-1})^2 is 1/(x^2)