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

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

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

simplify

Solution steps

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

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

Apply exponent rule:

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

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

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

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

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

0.45 \cdot (3.53)^{- 0.55}

6 e^{- 2 x}

e^{- \frac{2}{x}}

\frac{- 54}{9}

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