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Popular >

simplify x^{3/2}*sqrt(x)

Solution

simplify

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

Solution

x^{2}

Solution steps

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

Apply radical rule:

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

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

= x^{\frac{3}{2}} x^{\frac{1}{2}}

Apply exponent rule:

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

x^{\frac{3}{2}} x^{\frac{1}{2}} = x^{\frac{3}{2} + \frac{1}{2}}

= x^{\frac{3}{2} + \frac{1}{2}}

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

= x^{2}

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Frequently Asked Questions (FAQ)

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