What is \sqrt[3]{sqrt(2x^4)} ?

The solution to \sqrt[3]{sqrt(2x^4)} is \sqrt[6]{2}\sqrt[6]{x^4}

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simplify \sqrt[3]{sqrt(2x^4)}

simplify

Solution steps

Apply radical rule:

= ((2 x^{4})^{\frac{1}{2}})^{\frac{1}{3}}

Apply exponent rule:

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

assuming

a \geq 0

= (2 x^{4})^{\frac{1}{2} \cdot \frac{1}{3}}

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

= (2 x^{4})^{\frac{1}{6}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

\frac{( n + 4 ) ^{4}}{n ^{4}}

3 x^{4} \cdot e^{- 2 l n (x)}

(- 32)^{- 1.2}

3 x - 1 = 9

(\frac{1}{2} x^{4}) (16 x^{3})

What is \sqrt[3]{sqrt(2x^4)} ?
The solution to \sqrt[3]{sqrt(2x^4)} is \sqrt[6]{2}\sqrt[6]{x^4}