What is \sqrt[5]{\sqrt[4]{2}} ?

The solution to \sqrt[5]{\sqrt[4]{2}} is \sqrt[20]{2}

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simplify \sqrt[5]{\sqrt[4]{2}}

simplify

Decimal Notation

1.03526 \dots

Solution steps

Apply radical rule:

= (2^{\frac{1}{4}})^{\frac{1}{5}}

Apply exponent rule:

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

= 2^{\frac{1}{4} \cdot \frac{1}{5}}

\frac{1}{4} \cdot \frac{1}{5} = \frac{1}{20}

= 2^{\frac{1}{20}}

e^{- 0.1 \cdot 5}

\frac{0.8 4 ^{2}}{2. 4 ^{2}}

4.115226337 \cdot 1 0^{- 3}

e^{- (1 + 0.5)}

- 0.5 (9)^{- 1.5}

What is \sqrt[5]{\sqrt[4]{2}} ?
The solution to \sqrt[5]{\sqrt[4]{2}} is \sqrt[20]{2}