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Popular >

simplify (x^{-1})^2

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0

= x^{- 1 \cdot 2}

Multiply the numbers:

1 \cdot 2 = 2

= x^{- 2}

Apply exponent rule:

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

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

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

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Frequently Asked Questions (FAQ)

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