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Popular >

simplify (w^3)^{-4}

Solution

simplify

(w^{3})^{- 4}

Solution

\frac{1}{w ^{12}}

Solution steps

(w^{3})^{- 4}

Apply exponent rule:

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

assuming

a \geq 0

= w^{3 (- 4)}

3 (- 4) = - 12

= w^{- 12}

Apply exponent rule:

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

w^{- 12} = \frac{1}{w ^{12}}

= \frac{1}{w ^{12}}

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Frequently Asked Questions (FAQ)

What is (w^3)^{-4} ?
The solution to (w^3)^{-4} is 1/(w^{12)}