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

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

Step 1

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

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

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

Combine the numerators over the common denominator.

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

Add $- 4$ and $9$ .

$x^{\frac{5}{5}}$

Divide $5$ by $5$ .

$x^{1}$

Step 2

Simplify $x^{1}$ .

$x$