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Popular >

simplify (\sqrt[x-1]{81})^x

Solution

simplify

Solution

8 1^{\frac{x}{x - 1}}

Solution steps

Apply radical rule:

= (8 1^{\frac{1}{x - 1}})^{x}

Apply exponent rule:

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

= 8 1^{\frac{1}{x - 1} x}

Simplify

\frac{1}{x - 1} x : \frac{x}{x - 1}

= 8 1^{\frac{x}{x - 1}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[x-1]{81})^x ?
The solution to (\sqrt[x-1]{81})^x is 81^{x/(x-1)}