What is \sqrt[5]{x}\times sqrt(x) ?

The solution to \sqrt[5]{x}\times sqrt(x) is \sqrt[10]{x^7}

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simplify \sqrt[5]{x}\times sqrt(x)

simplify

Solution steps

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

= x^{\frac{1}{5}} x^{\frac{1}{2}}

Apply exponent rule:

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

x^{\frac{1}{5}} x^{\frac{1}{2}} = x^{\frac{1}{5} + \frac{1}{2}}

= x^{\frac{1}{5} + \frac{1}{2}}

\frac{1}{5} + \frac{1}{2} = \frac{7}{10}

= x^{\frac{7}{10}}

x - 3 \cdot x - 5

3.9 \cdot 1 0^{- 7}

2100 e^{- \frac{17}{20}}

\frac{e ^{12 x}}{e ^{\frac{4}{3} x}}

What is \sqrt[5]{x}\times sqrt(x) ?
The solution to \sqrt[5]{x}\times sqrt(x) is \sqrt[10]{x^7}