Evaluate (7^(3/2))/(7^(1/2))

$\frac{7^{\frac{3}{2}}}{7^{\frac{1}{2}}}$

Move $7^{\frac{1}{2}}$ to the numerator using the negative exponent rule $\frac{1}{b^{n}} = b^{- n}$ .

$7^{\frac{3}{2}} \cdot 7^{- \frac{1}{2}}$

Multiply $7^{\frac{3}{2}}$ by $7^{- \frac{1}{2}}$ by adding the exponents.

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

$7^{\frac{3}{2} - \frac{1}{2}}$

Combine the numerators over the common denominator.

$7^{\frac{3 - 1}{2}}$

Subtract $1$ from $3$ .

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

Divide $2$ by $2$ .

$7^{1}$

Simplify $7^{1}$ .

$7$