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

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

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

simplify

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

7.6 \cdot 1 0^{- 7}

(2.6 π \cdot 1 0^{- 6}) \cdot (0.5)

4 π e^{- 7}

\frac{17}{13}

2 a^{2} b^{2} 6 a

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