Evaluate (x^7y^3)/(xy^-4)

$\frac{x^{7} y^{3}}{x y^{- 4}}$

Move $y^{- 4}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{x^{7} y^{3} y^{4}}{x}$

Multiply $y^{3}$ by $y^{4}$ by adding the exponents.

Move $y^{4}$ .

$\frac{x^{7} (y^{4} y^{3})}{x}$

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

$\frac{x^{7} y^{4 + 3}}{x}$

Add $4$ and $3$ .

$\frac{x^{7} y^{7}}{x}$

Cancel the common factor of $x^{7}$ and $x$ .

Factor $x$ out of $x^{7} y^{7}$ .

$\frac{x (x^{6} y^{7})}{x}$

Cancel the common factors.

Raise $x$ to the power of $1$ .

$\frac{x (x^{6} y^{7})}{x^{1}}$

Factor $x$ out of $x^{1}$ .

$\frac{x (x^{6} y^{7})}{x \cdot 1}$

Cancel the common factor.

$\frac{x (x^{6} y^{7})}{x \cdot 1}$

Rewrite the expression.

$\frac{x^{6} y^{7}}{1}$

Divide $x^{6} y^{7}$ by $1$ .

$x^{6} y^{7}$