Chapter 5 - Number Theory and the Real Number System - 5.2 The Integers; Order of Operations - Exercise Set 5.2 - Page 270: 111

$-10-(-2)^3$; The simplified expression is equal to $-2$.

The cube of $-2$ is $(-2)^3$. Subtracting this to $-10$ gives: $-10 - (-2)^3$ The order of operations states that to simplify the expression, the exponent must be applied first before the subtraction is performed. Thus, $-10-(-2)^3 = -10-(-8) =-10+8 = -2$