What is \sqrt[3]{\sqrt[8]{11x}} ?

The solution to \sqrt[3]{\sqrt[8]{11x}} is \sqrt[24]{11}\sqrt[24]{x}

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simplify \sqrt[3]{\sqrt[8]{11x}}

simplify

Solution steps

Apply radical rule:

= ((11 x)^{\frac{1}{8}})^{\frac{1}{3}}

Apply exponent rule:

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

assuming

a \geq 0

= (11 x)^{\frac{1}{8} \cdot \frac{1}{3}}

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

= (11 x)^{\frac{1}{24}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

\frac{e ^{4 t}}{e ^{2 t}}

f^{- 1} ((ln (x^{2})))

e^{- j w n^{0}}

b a

- 5 e^{- 4}

What is \sqrt[3]{\sqrt[8]{11x}} ?
The solution to \sqrt[3]{\sqrt[8]{11x}} is \sqrt[24]{11}\sqrt[24]{x}