What is \sqrt[3]{\sqrt[6]{y^2}} ?

The solution to \sqrt[3]{\sqrt[6]{y^2}} is \sqrt[9]{y}

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simplify \sqrt[3]{\sqrt[6]{y^2}}

simplify

Solution steps

Apply radical rule:

= (y^{\frac{1}{3}})^{\frac{1}{3}}

Apply exponent rule:

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

assuming

a \geq 0

= y^{\frac{1}{3} \cdot \frac{1}{3}}

\frac{1}{3} \cdot \frac{1}{3} = \frac{1}{9}

= y^{\frac{1}{9}}

\frac{- 6}{- 3}

x + 6 \cdot x - 4

4.5 x 1 0^{- 2}

e^{- \frac{1}{2} l n (x^{2} + 1)}

What is \sqrt[3]{\sqrt[6]{y^2}} ?
The solution to \sqrt[3]{\sqrt[6]{y^2}} is \sqrt[9]{y}