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Popular >

simplify \sqrt[5]{243.1^{-5}}

Solution

simplify

Solution

0.00411 \dots

Solution steps

Apply radical rule:

= (243. 1^{- 5})^{\frac{1}{5}}

Apply exponent rule:

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

= 243. 1^{(- 5) \frac{1}{5}}

(- 5) \frac{1}{5} = - 1

= 243. 1^{- 1}

243. 1^{- 1} = 0.00411 \dots

= 0.00411 \dots

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Frequently Asked Questions (FAQ)

What is \sqrt[5]{243.1^{-5}} ?
The solution to \sqrt[5]{243.1^{-5}} is 0.00411…