What is \sqrt[5]{\sqrt[6]{64^{15}}} ?

The solution to \sqrt[5]{\sqrt[6]{64^{15}}} is 8

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simplify \sqrt[5]{\sqrt[6]{64^{15}}}

simplify

8

Solution steps

6 4^{\frac{5}{2}} = 32768

Factor the number:

32768 = 8^{5}

Apply radical rule:

= 8

(4 x^{\frac{2}{3}}) (5 x^{\frac{1}{2}})

7 x 1 0^{- 9}

10 e^{- 0.0256 (5)}

8.5 \times 1 0^{- 6}

- 8 e^{- t}

What is \sqrt[5]{\sqrt[6]{64^{15}}} ?
The solution to \sqrt[5]{\sqrt[6]{64^{15}}} is 8