Simplify this expression. –12 ÷ 3 • (–8 + (–4)2 – 6) + 2
i need help please
–12 ÷ 3 • (–8 + (–4)2 – 6) + 2
-12 ÷ 3 • (-8 - 8 - 6) + 2
-12 ÷ 3 • (-22) + 2
-4 • (-22) + 2
+ 88 + 2
90
-12 + 3*(-8 + (-4)2 -6) + 2 = -12 + 3*(-8 + 16 - 6) + 2 = -12 + 3*(2) + 2 = -4.
Note: I assumed (-4)2 means (-4)^2.
To simplify the expression –12 ÷ 3 • (–8 + (–4)2 – 6) + 2, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
Let's break down the expression step by step:
Step 1: Evaluate any expressions inside parentheses.
Inside the parentheses, we have –8 + (–4)2 – 6. To simplify this, we need to handle the exponent first.
(–4)2 = –4 × –4 = 16
Now we substitute the value in the original expression: –8 + 16 – 6.
Step 2: Simplify multiplication and division from left to right.
Now we have –12 ÷ 3 • (8 – 6).
Next, we divide –12 by 3: –12 ÷ 3 = –4.
Substituting this value in the expression: –4 • (8 – 6).
Step 3: Simplify addition and subtraction from left to right.
Now we have –4 • 2.
Multiplying –4 by 2: –4 • 2 = –8
Step 4: Simplify any remaining addition and subtraction.
Now we have –8 + 2.
Adding –8 to 2: –8 + 2 = –6.
Thus, the simplified expression is –6.