What is \sqrt[10]{\sqrt[3]{z}} ?

The solution to \sqrt[10]{\sqrt[3]{z}} is \sqrt[30]{z}

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simplify \sqrt[10]{\sqrt[3]{z}}

simplify

Solution steps

Apply radical rule:

= (z^{\frac{1}{3}})^{\frac{1}{10}}

Apply exponent rule:

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

assuming

a \geq 0

= z^{\frac{1}{3} \cdot \frac{1}{10}}

\frac{1}{3} \cdot \frac{1}{10} = \frac{1}{30}

= z^{\frac{1}{30}}

8.21 x 1 0^{- 3}

(5 x - 6 y)^{2} (5 x + 6 y)^{2}

e^{- \frac{( 5 π + 16 ) t}{10}}

e^{- x} \cdot (x e^{x + y} + 1)

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

What is \sqrt[10]{\sqrt[3]{z}} ?
The solution to \sqrt[10]{\sqrt[3]{z}} is \sqrt[30]{z}