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

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

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

simplify

Solution steps

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

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

Apply exponent rule:

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

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

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

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

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

e^{- t} H (t)

e^{- 2 t} sin (2 t)

1 - x^{2} \cdot 1 + \frac{x ^{2}}{1 - x ^{2}}

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