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

The solution to \sqrt[3]{x}*sqrt(2x) is sqrt(2)x^{5/6}

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

simplify

2 x^{\frac{5}{6}}

Solution steps

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

2 x = 2 x

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

= 2 x^{\frac{1}{3} + \frac{1}{2}}

x^{\frac{1}{3} + \frac{1}{2}} = x^{\frac{5}{6}}

= 2 x^{\frac{5}{6}}

3^{- 2}

70 0^{2} \cdot 2.636 \cdot 1 0^{- 4}

20 x^{2} y^{2}

What is \sqrt[3]{x}*sqrt(2x) ?
The solution to \sqrt[3]{x}*sqrt(2x) is sqrt(2)x^{5/6}