What is \sqrt[5]{\sqrt[3]{sqrt(16)}} ?

The solution to \sqrt[5]{\sqrt[3]{sqrt(16)}} is \sqrt[30]{16}

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simplify \sqrt[5]{\sqrt[3]{sqrt(16)}}

simplify

Decimal Notation

1.09682 \dots

Solution steps

Apply radical rule:

= (1 6^{\frac{1}{6}})^{\frac{1}{5}}

Apply exponent rule:

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

= 1 6^{\frac{1}{6} \cdot \frac{1}{5}}

\frac{1}{6} \cdot \frac{1}{5} = \frac{1}{30}

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

2.07 \cdot 1 0^{- 5}

- e^{2 x} \cdot e^{- 2 x}

(u - 3)^{2} (u^{2} + 3 u + 9)^{2}

(x + 1)^{2} (y + 3)^{2}

What is \sqrt[5]{\sqrt[3]{sqrt(16)}} ?
The solution to \sqrt[5]{\sqrt[3]{sqrt(16)}} is \sqrt[30]{16}