What is \sqrt[3]{\sqrt[4]{sqrt(264)}} ?

The solution to \sqrt[3]{\sqrt[4]{sqrt(264)}} is \sqrt[24]{264}

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simplify \sqrt[3]{\sqrt[4]{sqrt(264)}}

simplify

Decimal Notation

1.26153 \dots

Solution steps

Apply radical rule:

= (26 4^{\frac{1}{8}})^{\frac{1}{3}}

Apply exponent rule:

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

= 26 4^{\frac{1}{8} \cdot \frac{1}{3}}

\frac{1}{8} \cdot \frac{1}{3} = \frac{1}{24}

= 26 4^{\frac{1}{24}}

(2 x - 2)^{- 3}

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

- 0.5 (5)^{- 2}

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

t^{4} e^{6} \cdot 4 t^{2} e^{3}

What is \sqrt[3]{\sqrt[4]{sqrt(264)}} ?
The solution to \sqrt[3]{\sqrt[4]{sqrt(264)}} is \sqrt[24]{264}