QuestionExpress and simplify: -18 - (-5)³. What is the result?

Studdy Solution

STEP 1

Assumptions1. The expression to be evaluated is $-18-(-5)^{3}$ . . We need to follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often abbreviated as PEMAS.

STEP 2

First, we need to evaluate the exponential expression $(-5)^{}$ .
$(-5)^{} = -5 \times -5 \times -5$

STEP 3

Calculate the value of $(-5)^{3}$ .
$(-5)^{3} = -5 \times -5 \times -5 = -125$

STEP 4

Now, substitute $-125$ back into the original expression to replace $(-)^{3}$ .
$-18-(-)^{3} = -18 - (-125)$

STEP 5

Notice that we have a double negative in the expression, which turns into a positive. So, the expression becomes $-18 - (-125) = -18 +125$

STEP 6

Finally, perform the addition to simplify the expression.
$-18 +125 =107$ So, the expression $-18-(-5)^{3}$ simplifies to $107$ .

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