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Popular >

simplify (v^3)^{-7}

Solution

simplify

(v^{3})^{- 7}

Solution

\frac{1}{v ^{21}}

Solution steps

(v^{3})^{- 7}

Apply exponent rule:

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

assuming

a \geq 0

= v^{3 (- 7)}

3 (- 7) = - 21

= v^{- 21}

Apply exponent rule:

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

v^{- 21} = \frac{1}{v ^{21}}

= \frac{1}{v ^{21}}

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Frequently Asked Questions (FAQ)

What is (v^3)^{-7} ?
The solution to (v^3)^{-7} is 1/(v^{21)}