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Popular >

simplify sqrt(n)^{2n}

Solution

simplify

n^{2 n}

Solution

n^{n}

Solution steps

(n)^{2 n}

Apply radical rule:

a = a^{\frac{1}{2}}

= (n^{\frac{1}{2}})^{2 n}

Apply exponent rule:

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

assuming

a \geq 0

= n^{\frac{1}{2} \cdot 2 n}

Simplify

\frac{1}{2} \cdot 2 n : n

= n^{n}

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Frequently Asked Questions (FAQ)

What is sqrt(n)^{2n} ?
The solution to sqrt(n)^{2n} is n^n