Plz help me!

-12 divided by 3 •(-8 + (-4)^2 - 6) + 2
My teacher said the answer should be -6. But I don't know how to get to it. Plz Help!

-12/3 * (-8 + (-4)^2 - 6) + 2

-4 * (-8+16-6) + 2
-4 * 2 + 2
-8 + 2
-6

Just follow the usual order of evaluation.

Thanks Steve you are a life saver

Sure, I can help you with that!

To solve the given 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) to simplify it step by step.

Step 1: Simplify any expressions inside parentheses.
Inside the parentheses, we have (-8 + (-4)^2 - 6).

First, we evaluate the exponent, (-4)^2, which gives us 16.

Next, we add -8 and 16 to get 8.

Finally, we subtract 6 from 8 to get 2.

Replacing the expression inside the parentheses with 2, we now have:
-12 ÷ 3 • 2 + 2.

Step 2: Perform any multiplication or division from left to right.
Now, we divide -12 by 3, which gives us -4.

Replacing the division with -4, the expression becomes:
-4 • 2 + 2.

Next, we perform the multiplication: -4 multiplied by 2, which gives us -8.

Replacing the multiplication with -8, the expression becomes:
-8 + 2.

Step 3: Perform any addition or subtraction from left to right.
Finally, we add -8 and 2 to get -6.

Therefore, the answer to the expression -12 ÷ 3 •(-8 + (-4)^2 - 6) + 2 is indeed -6, matching what your teacher said.

Remember to follow the order of operations (PEMDAS) when simplifying complex expressions.