What is \sqrt[4]{\sqrt[3]{sqrt(2)}} ?

The solution to \sqrt[4]{\sqrt[3]{sqrt(2)}} is \sqrt[24]{2}

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simplify \sqrt[4]{\sqrt[3]{sqrt(2)}}

simplify

Decimal Notation

1.02930 \dots

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

\frac{1}{6} \cdot \frac{1}{4} = \frac{1}{24}

= 2^{\frac{1}{24}}

\frac{e ^{- y}}{e ^{y}}

80000 \cdot e^{- 0.12 (4)}

3.3 \cdot 1 0^{- 7}

a^{1 + π} a^{2}

(4 x^{3} y^{2}) (2 x y^{6})

What is \sqrt[4]{\sqrt[3]{sqrt(2)}} ?
The solution to \sqrt[4]{\sqrt[3]{sqrt(2)}} is \sqrt[24]{2}