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Popular >

simplify \sqrt[(n^n)/n ]{n^5}

Solution

simplify

Solution

n^{5 n^{- n + 1}}

Solution steps

Apply radical rule:

= (n^{5})^{\frac{1}{\frac{n ^{n}}{n}}}

Apply exponent rule:

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

assuming

a \geq 0

= n^{5 \cdot \frac{1}{\frac{n ^{n}}{n}}}

Simplify

5 \cdot \frac{1}{\frac{n ^{n}}{n}} : 5 n^{1 - n}

= n^{5 n^{1 - n}}

= n^{5 n^{- n + 1}}

Popular Examples

simplify e^{-5x}(9e^{5x})simplify

e^{- 5 x} (9 e^{5 x})

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8.43 \cdot 1 0^{- 5}

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e^{- 6 \cdot 2}

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(4.86 \cdot 1 0^{- 18}) \cdot 1000

simplify 7.379*10^{-4}*1930 simplify

7.379 \cdot 1 0^{- 4} \cdot 1930

Frequently Asked Questions (FAQ)

What is \sqrt[(n^n)/n ]{n^5} ?
The solution to \sqrt[(n^n)/n ]{n^5} is n^{5n^{-n+1}}