What is \sqrt[3]{\sqrt[4]{sqrt(y)}} ?

The solution to \sqrt[3]{\sqrt[4]{sqrt(y)}} is \sqrt[24]{y}

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simplify \sqrt[3]{\sqrt[4]{sqrt(y)}}

simplify

Solution steps

Apply radical rule:

= (y^{\frac{1}{8}})^{\frac{1}{3}}

Apply exponent rule:

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

assuming

a \geq 0

= y^{\frac{1}{8} \cdot \frac{1}{3}}

\frac{1}{8} \cdot \frac{1}{3} = \frac{1}{24}

= y^{\frac{1}{24}}

(e^{x + y}) (e^{x + y})

6.42 \cdot 1 0^{- 2}

0.266 \cdot 0.01 9^{- 0.5}

6^{- 3 = \frac{1}{216}}

(ln (0.5))^{- 2}

What is \sqrt[3]{\sqrt[4]{sqrt(y)}} ?
The solution to \sqrt[3]{\sqrt[4]{sqrt(y)}} is \sqrt[24]{y}