Simplify -12 divided by 3 · (-8 + (-4)^2 - 6) + 2 with steps

If your expression mean:

- 12 / [ 3 · ( - 8 + ( - 4)² - 6 + 2 ) ]

then:

- 12 / 3 · ( - 8 + ( - 4)² - 6 + 2 ) =

- 12 / 3 · ( - 8 + 16 - 6 + 2 ) =

- 12 / 3 · 4 =

-12 / 12 = - 1

Sure! Let's simplify step-by-step:

Step 1: Evaluate the expression inside the parentheses: (-4)^2 = 16
So, the expression becomes: -12 ÷ 3 · (-8 + 16 - 6) + 2

Step 2: Simplify any addition/subtraction in the expression inside the parentheses: (-8 + 16 - 6) = 2
Now the expression becomes: -12 ÷ 3 · 2 + 2

Step 3: Next, evaluate the division: -12 ÷ 3 = -4
The expression is now: -4 · 2 + 2

Step 4: Multiply: -4 · 2 = -8
So, the expression simplifies to: -8 + 2

Step 5: Finally, perform the addition: -8 + 2 = -6

Therefore, the simplified expression is -6.

To simplify the expression -12 divided by 3 · (-8 + (-4)^2 - 6) + 2 step by step, we follow the order of operations (PEMDAS/BODMAS):

Step 1: Start by simplifying within the parentheses:
(-4)^2 = 16
So, the expression becomes:
-12 ÷ 3 · (-8 + 16 - 6) + 2

Step 2: Simplify within the parentheses:
-8 + 16 - 6 = 2
Now the expression becomes:
-12 ÷ 3 · 2 + 2

Step 3: Move on to the division operation:
-12 ÷ 3 = -4
Now the expression becomes:
-4 · 2 + 2

Step 4: Perform the multiplication operation:
-4 · 2 = -8
Now the expression becomes:
-8 + 2

Step 5: Finally, perform the addition operation:
-8 + 2 = -6

So, -12 ÷ 3 · (-8 + (-4)^2 - 6) + 2 simplifies to -6.

To simplify the expression -12 divided by 3 · (-8 + (-4)^2 - 6) + 2, follow these steps:

Step 1: Simplify the expression inside the parentheses:
-8 + (-4)^2 - 6
-8 + 16 - 6
8 - 6
2

Step 2: Substitute the simplified expression back into the original expression:
-12 divided by 3 · 2 + 2

Step 3: Solve the division first:
-12 divided by 3 = -4

Substituting this back into the expression:
-4 · 2 + 2

Step 4: Perform multiplication:
-4 · 2 = -8

Substituting this back into the expression:
-8 + 2

Step 5: Perform addition:
-8 + 2 = -6

Therefore, the simplified expression is -6.