Simplify this expression -12 ÷ *(-8 +(-4)^2 -6)+2 prepare your response to this question. Include various key words you learned within the unit.list your steps in order so anyone can follow your steps.

1 answer

To simplify the expression -12 ÷ *(-8 +(-4)^2 -6)+2, we can follow the order of operations or PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction) to make the calculation easier.

Step 1: Simplify inside the parentheses first.

-8 +(-4)^2 -6 = -8 + 16 - 6
= 2

This means that we can replace (-8 +(-4)^2 -6) with 2 in the original expression.

-12 ÷ *(2) + 2

Step 2: Simplify the exponent.

(-4)^2 = 16

-12 ÷ *(2) + 2

Step 3: Simplify the multiplication and division from left to right.

-12 ÷ *(2) = -24

-24 + 2

Step 4: Simplify the addition and subtraction.

= -22

Therefore, -12 ÷ *(-8 +(-4)^2 -6)+2 simplifies to -22.

Key words learned within the unit:

- Order of operations
- PEMDAS
- Parentheses
- Exponents
- Multiplication
- Division
- Addition
- Subtraction