Evaluate (x^5y^4)/(x^-5y^4)

$\frac{x^{5} y^{4}}{x^{- 5} y^{4}}$

Step 1

Move $x^{- 5}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{x^{5} y^{4} x^{5}}{y^{4}}$

Step 2

Multiply $x^{5}$ by $x^{5}$ by adding the exponents.

Move $x^{5}$ .

$\frac{x^{5} x^{5} y^{4}}{y^{4}}$

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

$\frac{x^{5 + 5} y^{4}}{y^{4}}$

Add $5$ and $5$ .

$\frac{x^{10} y^{4}}{y^{4}}$

Step 3

Cancel the common factor of $y^{4}$ .

Cancel the common factor.

$\frac{x^{10} y^{4}}{y^{4}}$

Divide $x^{10}$ by $1$ .

$x^{10}$