Answer
$\frac{18}{7}$
Work Step by Step
Using order of operations, first solve parentheses, then exponents, then multiply, and then add.
$\frac{4 + |6 - 2| + 8^{2}}{4 + 6 * 4}$ = $\frac{4 + |4| + 8^{2}}{4 + 6 * 4}$ = $\frac{4 + 4 + 64}{4 + 6 * 4}$ = $\frac{4 + 4 + 64}{4 + 24}$ = $\frac{72}{28}$ = $\frac{18}{7}$