Simplify a^(1/2)a^(7/2)

$a^{\frac{1}{2}} a^{\frac{7}{2}}$

Step 1

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

$a^{\frac{1}{2} + \frac{7}{2}}$

Step 2

Combine the numerators over the common denominator.

$a^{\frac{1 + 7}{2}}$

Step 3

Add $1$ and $7$ .

$a^{\frac{8}{2}}$

Step 4

Divide $8$ by $2$ .

$a^{4}$