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

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

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

simplify

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

397 e^{- 0.032 (25)}

e^{- 3 t^{2}}

(e^{s + t}) (e^{s - t})

\frac{1 - x}{1 + x}^{^{'}}

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