What is sqrt(x)\times \sqrt[4]{x} ?

The solution to sqrt(x)\times \sqrt[4]{x} is \sqrt[4]{x^3}

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simplify sqrt(x)\times \sqrt[4]{x}

simplify

Solution steps

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

= x^{\frac{1}{2}} x^{\frac{1}{4}}

Apply exponent rule:

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

x^{\frac{1}{2}} x^{\frac{1}{4}} = x^{\frac{1}{2} + \frac{1}{4}}

= x^{\frac{1}{2} + \frac{1}{4}}

\frac{1}{2} + \frac{1}{4} = \frac{3}{4}

= x^{\frac{3}{4}}

(14)^{3}

(e^{1})^{2}

\frac{( \frac{3}{4} ) ^{6}}{( \frac{3}{4} ) ^{- 6}}

0.5 e^{- 0.5}

What is sqrt(x)\times \sqrt[4]{x} ?
The solution to sqrt(x)\times \sqrt[4]{x} is \sqrt[4]{x^3}