What is sqrt(x)*\sqrt[6]{x} ?

The solution to sqrt(x)*\sqrt[6]{x} is cube root of x^2

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simplify sqrt(x)*\sqrt[6]{x}

simplify

Solution steps

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

= x^{\frac{1}{2}} x^{\frac{1}{6}}

Apply exponent rule:

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

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

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

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

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

\frac{e ^{- x}}{e ^{- 3 x}}

15^{3}

- \frac{12}{- 18}

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

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