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

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

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

simplify

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

(5 - x)^{2}

e^{x} \cdot e^{- 6 x} \cdot e^{8}

e^{- \frac{11}{10} \cdot 115}

e^{(- l n (c o s (x)))}

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