Simplify the Radical Expression 9^(1/2)*9^(5/2)

$9^{\frac{1}{2}} \cdot 9^{\frac{5}{2}}$

Step 1

Multiply $9^{\frac{1}{2}}$ by $9^{\frac{5}{2}}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$9^{\frac{1}{2} + \frac{5}{2}}$

Combine the numerators over the common denominator.

$9^{\frac{1 + 5}{2}}$

Add $1$ and $5$ .

$9^{\frac{6}{2}}$

Divide $6$ by $2$ .

$9^{3}$

Step 2

Raise $9$ to the power of $3$ .

$729$