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Popular >

simplify (v^{-6})^{7/4}

Solution

simplify

(v^{- 6})^{\frac{7}{4}}

Solution

\frac{1}{v ^{\frac{21}{2}}}

Solution steps

(v^{- 6})^{\frac{7}{4}}

Apply exponent rule:

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

assuming

a \geq 0

= v^{- 6 \cdot \frac{7}{4}}

- 6 \cdot \frac{7}{4} = - \frac{21}{2}

= v^{- \frac{21}{2}}

Apply exponent rule:

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

v^{- \frac{21}{2}} = \frac{1}{v ^{\frac{21}{2}}}

= \frac{1}{v ^{\frac{21}{2}}}

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Frequently Asked Questions (FAQ)

What is (v^{-6})^{7/4} ?
The solution to (v^{-6})^{7/4} is 1/(v^{21/2)}