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Popular >

simplify (\sqrt[x-1]{3})^{x-1}

Solution

simplify

Solution

3

Solution steps

Apply radical rule:

= (3^{\frac{1}{x - 1}})^{x - 1}

Apply exponent rule:

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

= 3^{\frac{1}{x - 1} (x - 1)}

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

= 3

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Frequently Asked Questions (FAQ)

What is (\sqrt[x-1]{3})^{x-1} ?
The solution to (\sqrt[x-1]{3})^{x-1} is 3