## Basic College Mathematics (9th Edition)

We are given the expression $2-(6-8)-(-5)^{2}$. According to order of operations, we must first perform all operations in parentheses. $2-(6-8)-(-5)^{2}=2-(-2)-(-5)^{2}$ Next, we must perform all exponent operations. $2-(-2)-(-5)^{2}=2-(-2)-(-5\times-5)=2-(-2)-25$ Finally, we perform all addition and subtraction from left to right. $2-(-2)-25=2+2-25=4-25=4+(-25)=-21$