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

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

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

simplify

Solution steps

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

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

Apply exponent rule:

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

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

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

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

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

e^{2 t} \cdot e^{3 t}

e^{- 3.49}

125

\frac{1}{1 \cdot 2 π} e^{- \frac{( 3 - 0 ) ^{2}}{2 \cdot 1 ^{2}}}

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