Answer
The expression we need to evaluate is $-100 - (-5)^3$.
The expression is evaluated to $25$.
Work Step by Step
First, let's translate this problem into an algebraic expression we can simplify:
Cube $-5$ means $(-5)^3$.
We subtract this expression from $-100$ to get the following expression:
$$-100 - (-5)^3$$
According to order of operations, let's evaluate the exponent first:
$$-100 - (-125)$$
When we subtract a negative number, this means that we add the number:
$$-100 + 125$$
Let's do the addition:
$$25$$
The expression is evaluated to $25$.