## Algebra: A Combined Approach (4th Edition)

Given: $\frac{4^{7}}{4^{3}}$ The general formula is: $\frac{x^{m}}{x^{n}}$ = $x^{m - n}$ We make the following substitutions into the general formula: x = 4, m = 7, and n= 3. Thus, $x^{m - n}$ = $4^{7 - 3}$ = $4^{4}$. $4^{4}$ = 4 $\times$ 4 $\times$ 4 $\times$ 4 = 16 $\times$ 16 = 256.