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Popular >

simplify (\sqrt[n]{a})^n

Solution

simplify

Solution

a

Solution steps

Apply radical rule:

= (a^{\frac{1}{n}})^{n}

Apply exponent rule:

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

assuming

a \geq 0

= a^{\frac{1}{n} n}

\frac{1}{n} n = 1

= a

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Frequently Asked Questions (FAQ)

What is (\sqrt[n]{a})^n ?
The solution to (\sqrt[n]{a})^n is a