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

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

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

simplify

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

2.5 \times 1 0^{- 4}

18^{2}

x^{2} (x + 3)^{2}

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