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Popular >

simplify [(x^4)^{-6}]^2

Solution

simplify

[(x^{4})^{- 6}]^{2}

Solution

\frac{1}{x ^{48}}

Solution steps

[(x^{4})^{- 6}]^{2}

(x^{4})^{- 6} : x^{- 24}

= [x^{- 24}]^{2}

Apply exponent rule:

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

= x^{(- 24) \cdot 2}

(- 24) \cdot 2 = - 48

= x^{- 48}

Apply exponent rule:

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

= \frac{1}{x ^{48}}

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Frequently Asked Questions (FAQ)

What is [(x^4)^{-6}]^2 ?
The solution to [(x^4)^{-6}]^2 is 1/(x^{48)}