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

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

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

simplify

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

e^{- 2 b}

80 \cdot e^{- 0.0105 \cdot 12}

\frac{2 - ( - 0.1 )}{- 0.1}

- 2 a^{3} b^{3}

e^{- 36}

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