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Popular >

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

Solution

simplify

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

Solution

\frac{1}{x}

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0

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

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