What is \sqrt[3]{\sqrt[6]{16}} ?

The solution to \sqrt[3]{\sqrt[6]{16}} is \sqrt[18]{16}

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simplify \sqrt[3]{\sqrt[6]{16}}

simplify

Decimal Notation

1.16652 \dots

Solution steps

Apply radical rule:

= (1 6^{\frac{1}{6}})^{\frac{1}{3}}

Apply exponent rule:

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

= 1 6^{\frac{1}{6} \cdot \frac{1}{3}}

\frac{1}{6} \cdot \frac{1}{3} = \frac{1}{18}

= 1 6^{\frac{1}{18}}

50 e^{- \frac{l n ( 2 )}{11.5} \cdot 24}

e^{- 20 t} (c_{1} cos (60 t) + c_{2} sin (60 t))

4 π \cdot 1 0^{- 7} \cdot \frac{200 \cdot 0 , 10}{0.0005}

4.78 \cdot 1 0^{- 6} \cdot 101

5 - x \cdot x^{2} - 9

What is \sqrt[3]{\sqrt[6]{16}} ?
The solution to \sqrt[3]{\sqrt[6]{16}} is \sqrt[18]{16}