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Popular >

simplify x(x^{-2})

Solution

simplify

x (x^{- 2})

Solution

\frac{1}{x}

Solution steps

x (x^{- 2})

Apply rule:

(a) = a

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

= x x^{- 2}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

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

= x^{1 - 2}

Subtract the numbers:

1 - 2 = - 1

= x^{- 1}

Apply exponent rule:

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

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

= \frac{1}{x}

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Frequently Asked Questions (FAQ)

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