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Popular >

simplify (x^2)^{-5}

Solution

simplify

(x^{2})^{- 5}

Solution

\frac{1}{x ^{10}}

Solution steps

(x^{2})^{- 5}

Apply exponent rule:

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

assuming

a \geq 0

= x^{2 (- 5)}

2 (- 5) = - 10

= x^{- 10}

Apply exponent rule:

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

x^{- 10} = \frac{1}{x ^{10}}

= \frac{1}{x ^{10}}

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Frequently Asked Questions (FAQ)

What is (x^2)^{-5} ?
The solution to (x^2)^{-5} is 1/(x^{10)}