What is \sqrt[n^2]{(1+7/n)^{n^3}} ?

The solution to \sqrt[n^2]{(1+7/n)^{n^3}} is (1+7/n)^n

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simplify \sqrt[n^2]{(1+7/n)^{n^3}}

simplify

(1 + \frac{7}{n})^{n}

Solution steps

Apply radical rule:

assuming

a \geq 0

= (1 + \frac{7}{n})^{\frac{n ^{3}}{n ^{2}}}

\frac{n ^{3}}{n ^{2}} = n

= (1 + \frac{7}{n})^{n}

(2 x + 3)^{2} - (2 x - 3)^{2}

x^{3} - (x^{2} - 3 x) (x + 3)

\frac{( 8 m ^{7} - 10 m ^{5} )}{2 m ^{3}}

\frac{x ^{2} + 7 x}{2 x ^{2}}

\frac{9}{4} + \frac{3}{2}

What is \sqrt[n^2]{(1+7/n)^{n^3}} ?
The solution to \sqrt[n^2]{(1+7/n)^{n^3}} is (1+7/n)^n