Simplify x^(-3/2)*x^(5/2)

$x^{- \frac{3}{2}} \cdot x^{\frac{5}{2}}$

Step 1

Multiply $x^{- \frac{3}{2}}$ by $x^{\frac{5}{2}}$ by adding the exponents.

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

$x^{- \frac{3}{2} + \frac{5}{2}}$

Combine the numerators over the common denominator.

$x^{\frac{- 3 + 5}{2}}$

Add $- 3$ and $5$ .

$x^{\frac{2}{2}}$

Divide $2$ by $2$ .

$x^{1}$

Step 2

Simplify $x^{1}$ .

$x$