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

The solution to sqrt(x)\times \sqrt[3]{2x^2} is cube root of 2}x^{7/6

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

simplify

Solution steps

Apply exponent rule:

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

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

x^{\frac{1}{2} + \frac{2}{3}} = x^{\frac{7}{6}}

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What is sqrt(x)\times \sqrt[3]{2x^2} ?
The solution to sqrt(x)\times \sqrt[3]{2x^2} is cube root of 2}x^{7/6