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Popular >

simplify sqrt(n)^{n^2}

Solution

simplify

n^{n^{2}}

Solution

n^{\frac{n ^{2}}{2}}

Solution steps

(n)^{n^{2}}

Apply radical rule:

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

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

Apply exponent rule:

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

assuming

a \geq 0

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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