What is \sqrt[8]{\sqrt[4]{x}} ?

The solution to \sqrt[8]{\sqrt[4]{x}} is \sqrt[32]{x}

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simplify \sqrt[8]{\sqrt[4]{x}}

simplify

Solution steps

Apply radical rule:

= (x^{\frac{1}{4}})^{\frac{1}{8}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{\frac{1}{4} \cdot \frac{1}{8}}

\frac{1}{4} \cdot \frac{1}{8} = \frac{1}{32}

= x^{\frac{1}{32}}

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

\frac{e ^{t^{2}}}{e ^{t}}

3 e^{- c o s (x)} e^{c o s (x)}

\frac{a ^{10}}{b ^{10}}

x^{n} + 1 x^{n} - 1

What is \sqrt[8]{\sqrt[4]{x}} ?
The solution to \sqrt[8]{\sqrt[4]{x}} is \sqrt[32]{x}