What is sqrt(x)sqrt(x)sqrt(x) ?

The solution to sqrt(x)sqrt(x)sqrt(x) is x^{3/2}

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simplify sqrt(x)sqrt(x)sqrt(x)

simplify

x x x

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

Solution steps

x x x

Apply exponent rule:

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

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

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

Combine the fractions

\frac{1}{2} + \frac{1}{2} + \frac{1}{2} : \frac{3}{2}

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

(- 16)^{- \frac{1}{2}}

e^{- 2 x} (1 - 2 x)

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

(e^{x})^{y}

(e^{x})^{x}

What is sqrt(x)sqrt(x)sqrt(x) ?
The solution to sqrt(x)sqrt(x)sqrt(x) is x^{3/2}