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Popular >

simplify \sqrt[n]{n^4}

Solution

simplify

n n^{4}

Solution

n^{\frac{4}{n}}

Solution steps

n n^{4}

Apply radical rule:

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

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

Apply exponent rule:

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

assuming

a \geq 0

= n^{4 \cdot \frac{1}{n}}

Simplify

4 \cdot \frac{1}{n} : \frac{4}{n}

= n^{\frac{4}{n}}

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Frequently Asked Questions (FAQ)

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