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Popular >

simplify 13^{1/2}*13^{3/2}

Solution

simplify

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

Solution

169

Solution steps

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

Apply exponent rule:

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

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

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

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

= 1 3^{2}

1 3^{2} = 169

= 169

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Frequently Asked Questions (FAQ)

What is 13^{1/2}*13^{3/2} ?
The solution to 13^{1/2}*13^{3/2} is 169