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

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

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

simplify

Solution steps

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

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

Apply exponent rule:

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

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

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

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

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

\frac{1}{2} (13.509 \cdot 1 0^{- 6}) (6)^{2}

(2 \cdot 1 0^{8}) \cdot (5.5 \cdot 1 0^{- 3}) \cdot (1.1 \cdot 1 0^{- 4}) \cdot 92

e^{x} \cdot e^{e^{x}}

e^{- 2 \cdot 0.5}

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