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}}

(12.75) (1.6 \cdot 1 0^{- 19})

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θ e^{- θ (l n (z θ) θ)}

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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}