Math

QuestionEvaluate the expression: 8(8÷4)3-8 - (8 \div -4)^{3}.

Studdy Solution

STEP 1

Assumptions1. We are given the expression 8(8÷4)3-8-(8 \div-4)^{3}. We will 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 perform the division inside the parentheses.
8(8÷4)=8(2)-8-(8 \div-4)^{} = -8-(-2)^{}

STEP 3

Next, we need to calculate the exponent.
8(2)3=8(8)-8-(-2)^{3} = -8-(-8)

STEP 4

Now, we need to perform the subtraction.
8(8)=8+8-8-(-8) = -8+8

STEP 5

Finally, we calculate the sum.
8+8=0-8+8 =0So, the value of the expression 8(8÷4)3-8-(8 \div-4)^{3} is0.

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