What is \sqrt[6]{x^4}*\sqrt[3]{x^2} ?

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

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simplify \sqrt[6]{x^4}*\sqrt[3]{x^2}

simplify

x^{\frac{4}{3}}

Solution steps

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

Apply exponent rule:

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

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

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

Add similar elements:

\frac{2}{3} + \frac{2}{3} = 2 \cdot \frac{2}{3}

= x^{2 \cdot \frac{2}{3}}

Multiply

2 \cdot \frac{2}{3} : \frac{4}{3}

= x^{\frac{4}{3}}

4 2^{3}

6 x^{4} y^{4} (8 x^{3} y^{2})

x x + 1

325 e^{- 0.95}

e^{- \frac{5}{6}}

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