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Popular >

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

Solution

simplify

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

Solution

9

Solution steps

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

Apply exponent rule:

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

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

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

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

= 3^{2}

3^{2} = 9

= 9

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Frequently Asked Questions (FAQ)

What is 3^{1/2}*3^{3/2} ?
The solution to 3^{1/2}*3^{3/2} is 9