What is \sqrt[3]{\sqrt[5]{x}} ?

The solution to \sqrt[3]{\sqrt[5]{x}} is \sqrt[15]{x}

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simplify \sqrt[3]{\sqrt[5]{x}}

simplify

Solution steps

Apply radical rule:

= (x^{\frac{1}{5}})^{\frac{1}{3}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{\frac{1}{5} \cdot \frac{1}{3}}

\frac{1}{5} \cdot \frac{1}{3} = \frac{1}{15}

= x^{\frac{1}{15}}

x (x)^{3}

(8)^{4}

3 \cdot 33

e^{- 2 x}

2 e^{- \frac{1}{2}}

What is \sqrt[3]{\sqrt[5]{x}} ?
The solution to \sqrt[3]{\sqrt[5]{x}} is \sqrt[15]{x}