What is \sqrt[8]{\sqrt[3]{x}} ?

The solution to \sqrt[8]{\sqrt[3]{x}} is \sqrt[24]{x}

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simplify \sqrt[8]{\sqrt[3]{x}}

simplify

Solution steps

Apply radical rule:

= (x^{\frac{1}{3}})^{\frac{1}{8}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{\frac{1}{3} \cdot \frac{1}{8}}

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

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

2 e^{- \frac{5}{3}}

x (x + 1)^{2} (x - 1)^{2}

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

7.2 \cdot 1 0^{- 9}

1.32 \cdot 1 0^{- 3}

What is \sqrt[8]{\sqrt[3]{x}} ?
The solution to \sqrt[8]{\sqrt[3]{x}} is \sqrt[24]{x}