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Popular >

simplify (x^4)^{-2}

Solution

simplify

(x^{4})^{- 2}

Solution

\frac{1}{x ^{8}}

Solution steps

(x^{4})^{- 2}

Apply exponent rule:

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

assuming

a \geq 0

= x^{4 (- 2)}

4 (- 2) = - 8

= x^{- 8}

Apply exponent rule:

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

x^{- 8} = \frac{1}{x ^{8}}

= \frac{1}{x ^{8}}

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Frequently Asked Questions (FAQ)

What is (x^4)^{-2} ?
The solution to (x^4)^{-2} is 1/(x^8)