simply this expression -12-:3*(-8+(-4)^(2)-6+2)

use various key words and list steps

Keywords: order of operations, parentheses, exponent, multiplication, subtraction

Steps:
1. Start by solving the expression inside the parentheses: (-4)^(2) = 16
2. Combine the like terms within the parentheses: -8 + 16 - 6 + 2 = 4
3. The expression inside the parentheses is now simplified to 4.
4. Next, multiply 3 by 4: 3*4 = 12
5. Finally, subtract 12 from -12: -12 - 12 = -24
6. The simplified expression is -24.

To simplify the expression -12-:3*(-8+(-4)^(2)-6+2), let's break it down step-by-step using various keywords:

Step 1: Evaluate the expression in parentheses.
-4^2 means (-4) raised to the power of 2, which is 16.
So, -8+(-4)^(2)-6+2 becomes -8+16-6+2.

Step 2: Carry out addition and subtraction from left to right.
-8 + 16 = 8 (addition)
8 - 6 = 2 (subtraction)
2 + 2 = 4 (addition)

Step 3: Simplify the division operation.
-12 divided by 3 equals -4.
Therefore, -12-:3*(-8+(-4)^(2)-6+2) simplifies to -4 * 4.

Step 4: Perform the multiplication operation.
-4 multiplied by 4 is -16.

So, the simplified expression is -16.