QuestionCalculate the expression using order of operations: (Simplify your answer.)
Studdy Solution
STEP 1
Assumptions1. The expression is . We need to use the order of operations to solve this expression. The order of operations 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 simplify the expression inside the parentheses.
STEP 3
The expression inside the parentheses simplifies to which is . So the expression becomes
STEP 4
Next, we need to simplify the expression inside the absolute value bars. This is .
STEP 5
The subtraction inside the absolute value bars simplifies to which is . So the expression becomes
STEP 6
The absolute value of is . So the expression becomes
STEP 7
Finally, multiplying by gives us .
So, .
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