What is sqrt(\sqrt[3]{\sqrt[5]{64)}} ?

The solution to sqrt(\sqrt[3]{\sqrt[5]{64)}} is \sqrt[5]{2}

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simplify sqrt(\sqrt[3]{\sqrt[5]{64)}}

simplify

Decimal Notation

1.14869 \dots

Solution steps

Apply radical rule:

= (6 4^{\frac{1}{15}})^{\frac{1}{2}}

Apply exponent rule:

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

= 6 4^{\frac{1}{15} \cdot \frac{1}{2}}

\frac{1}{15} \cdot \frac{1}{2} = \frac{1}{30}

= 6 4^{\frac{1}{30}}

1 \cdot e^{- 9}

e^{- e^{t}}

282 \cdot 1 0^{- 3} \cdot \frac{1.204 \cdot ( 30 ) ^{2}}{2}

t e^{- 3 t} cos (3 t)

- 5.0382 \cdot 1 0^{- 6}

What is sqrt(\sqrt[3]{\sqrt[5]{64)}} ?
The solution to sqrt(\sqrt[3]{\sqrt[5]{64)}} is \sqrt[5]{2}