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

The solution to \sqrt[3]{X^2}*\sqrt[4]{X^3} is X^{17/12}

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

simplify

3 X^{2} \cdot 4 X^{3}

X^{\frac{17}{12}}

Solution steps

3 X^{2} 4 X^{3}

3 X^{2} : X^{\frac{2}{3}}

= X^{\frac{2}{3}} 4 X^{3}

4 X^{3} : X^{\frac{3}{4}}

= X^{\frac{2}{3}} X^{\frac{3}{4}}

Apply exponent rule:

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

X^{\frac{2}{3}} X^{\frac{3}{4}} = X^{\frac{2}{3} + \frac{3}{4}}

= X^{\frac{2}{3} + \frac{3}{4}}

Join

\frac{2}{3} + \frac{3}{4} : \frac{17}{12}

= X^{\frac{17}{12}}

(6.673 \cdot 1 0^{- 11}) \cdot (5.9736 \cdot 1 0^{24})

3.6 \times 1 0^{- 2}

e^{- \frac{400}{360}}

(14 2 y)^{10}

3 x^{4} (2 x)

What is \sqrt[3]{X^2}*\sqrt[4]{X^3} ?
The solution to \sqrt[3]{X^2}*\sqrt[4]{X^3} is X^{17/12}