Chapter 2 - Real Numbers - 2.4 - Exponents - Problem Set 2.4 - Page 75: 29

$-60$

Recall, in order to solve problems involving order of operations, we use the PEMDAS rule. First Priority: P - parentheses and other grouping symbols Second Priority: E - exponents Third Priority: M/D - Multiplication or division, whichever comes first from the left to the right Fourth Priority: A/S - Addition or subtraction, whichever comes first from the left to the right We follow order of operations to obtain that the expression, $ -7^2-6^2+5^2 ,$ simplifies to \begin{array}{l}\require{cancel} -7(7)-6(6)+5(5) \\\\= -49-36+25 \\\\= -85+25 \\\\= -60 .\end{array}