What is \sqrt[3]{sqrt(2x)} ?

The solution to \sqrt[3]{sqrt(2x)} is \sqrt[6]{2}\sqrt[6]{x}

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simplify \sqrt[3]{sqrt(2x)}

simplify

Solution steps

Apply radical rule:

= ((2 x)^{\frac{1}{2}})^{\frac{1}{3}}

Apply exponent rule:

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

assuming

a \geq 0

= (2 x)^{\frac{1}{2} \cdot \frac{1}{3}}

\frac{1}{2} \cdot \frac{1}{3} = \frac{1}{6}

= (2 x)^{\frac{1}{6}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

\frac{- 40}{- 8}

e^{- 4} \cdot 4

f (x) = \frac{e ^{2 x}}{e ^{- x}}

(2 x y^{2}) (4 x^{2} y)

What is \sqrt[3]{sqrt(2x)} ?
The solution to \sqrt[3]{sqrt(2x)} is \sqrt[6]{2}\sqrt[6]{x}