What is \sqrt[4]{\sqrt[5]{x}} ?

The solution to \sqrt[4]{\sqrt[5]{x}} is \sqrt[20]{x}

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simplify \sqrt[4]{\sqrt[5]{x}}

simplify

Solution steps

Apply radical rule:

= (x^{\frac{1}{5}})^{\frac{1}{4}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{\frac{1}{5} \cdot \frac{1}{4}}

\frac{1}{5} \cdot \frac{1}{4} = \frac{1}{20}

= x^{\frac{1}{20}}

\frac{9}{4}

2.1 e^{5} \cdot e^{(- 0.07 \cdot 100)}

π (x^{2})^{2}

\frac{10}{2} \times \frac{2}{2}

What is \sqrt[4]{\sqrt[5]{x}} ?
The solution to \sqrt[4]{\sqrt[5]{x}} is \sqrt[20]{x}