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Popular >

simplify a^{1/2}*a^{3/2}

Solution

simplify

a^{\frac{1}{2}} \cdot a^{\frac{3}{2}}

Solution

a^{2}

Solution steps

a^{\frac{1}{2}} a^{\frac{3}{2}}

Apply exponent rule:

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

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

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

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

= a^{2}

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Frequently Asked Questions (FAQ)

What is a^{1/2}*a^{3/2} ?
The solution to a^{1/2}*a^{3/2} is a^2