What is \sqrt[3]{\sqrt[5]{2x^3}} ?

The solution to \sqrt[3]{\sqrt[5]{2x^3}} is \sqrt[15]{2}\sqrt[15]{x^3}

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simplify \sqrt[3]{\sqrt[5]{2x^3}}

simplify

Solution steps

Apply radical rule:

= ((2 x^{3})^{\frac{1}{5}})^{\frac{1}{3}}

Apply exponent rule:

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

assuming

a \geq 0

= (2 x^{3})^{\frac{1}{5} \cdot \frac{1}{3}}

\frac{1}{5} \cdot \frac{1}{3} = \frac{1}{15}

= (2 x^{3})^{\frac{1}{15}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

(4 a^{2}) (2 a^{5})

e^{- x} cos^{2} (x)

(2 x - 7 y^{6} z^{3}) (3 x) 3

(47) (23)

5.7 \cdot 1 0^{- 7} \cdot 100

What is \sqrt[3]{\sqrt[5]{2x^3}} ?
The solution to \sqrt[3]{\sqrt[5]{2x^3}} is \sqrt[15]{2}\sqrt[15]{x^3}