# Chapter 5 - Number Theory and the Real Number System - 5.2 The Integers; Order of Operations - Exercise Set 5.2 - Page 270: 112

$-100 - (-5)^3$; The simplified form of the expression is equal to $25$.

#### Work Step by Step

The cube of $-5$ is $(-5)^3$. Subtracting this to $-100$ gives: $-100 - (-5)^3$ The order of operations states that to simplify the expression, the exponent must be applied first before the subtraction is performed. Thus, $-100-(-5)^3 = -100-(-125) =-100+125 = 25$

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