Simplify x^(-5/4)*x^(9/4)

$x^{- \frac{5}{4}} \cdot x^{\frac{9}{4}}$

Step 1

Multiply $x^{- \frac{5}{4}}$ by $x^{\frac{9}{4}}$ by adding the exponents.

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

$x^{- \frac{5}{4} + \frac{9}{4}}$

Combine the numerators over the common denominator.

$x^{\frac{- 5 + 9}{4}}$

Add $- 5$ and $9$ .

$x^{\frac{4}{4}}$

Divide $4$ by $4$ .

$x^{1}$

Step 2

Simplify $x^{1}$ .

$x$