What is \sqrt[n^{n-1}]{x^{625}} ?

The solution to \sqrt[n^{n-1}]{x^{625}} is x^{(625)/(n^{n-1)}}

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simplify \sqrt[n^{n-1}]{x^{625}}

simplify

x^{\frac{625}{n ^{n - 1}}}

Solution steps

Apply radical rule:

= (x^{625})^{\frac{1}{n ^{n - 1}}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{625 \cdot \frac{1}{n ^{n - 1}}}

Simplify

625 \cdot \frac{1}{n ^{n - 1}} : \frac{625}{n ^{n - 1}}

= x^{\frac{625}{n ^{n - 1}}}

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What is \sqrt[n^{n-1}]{x^{625}} ?
The solution to \sqrt[n^{n-1}]{x^{625}} is x^{(625)/(n^{n-1)}}