What is \sqrt[3]{\sqrt[4]{15}} ?

The solution to \sqrt[3]{\sqrt[4]{15}} is \sqrt[12]{15}

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simplify \sqrt[3]{\sqrt[4]{15}}

simplify

Solution steps

Apply radical rule:

= (1 5^{\frac{1}{4}})^{\frac{1}{3}}

Apply exponent rule:

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

= 1 5^{\frac{1}{4} \cdot \frac{1}{3}}

\frac{1}{4} \cdot \frac{1}{3} = \frac{1}{12}

= 1 5^{\frac{1}{12}}

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

\frac{3 + x}{3 - x}

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

What is \sqrt[3]{\sqrt[4]{15}} ?
The solution to \sqrt[3]{\sqrt[4]{15}} is \sqrt[12]{15}