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Popular >

simplify \sqrt[ 1/n ]{4^{-1}}

Solution

simplify

Solution

4^{- n}

Solution steps

Apply radical rule:

= (4^{- 1})^{\frac{1}{\frac{1}{n}}}

Apply exponent rule:

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

= 4^{(- 1) \frac{1}{\frac{1}{n}}}

Simplify

(- 1) \frac{1}{\frac{1}{n}} : - n

= 4^{- n}

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Frequently Asked Questions (FAQ)

What is \sqrt[ 1/n ]{4^{-1}} ?
The solution to \sqrt[ 1/n ]{4^{-1}} is 4^{-n}