Simplify the expression 82+9(12÷3×2)−7. Explain each of your steps.

oops its 8^2

Here are the basic steps to follow to simplify an algebraic expression:

remove parentheses by multiplying factors.
use exponent rules to remove parentheses in terms with exponents.
combine like terms by adding coefficients.
combine the constants.

I assume you mean (12/3 * 2) = (4 * 2) = 8

This is your start. Work it from there.

Here's where PEMDAS is needed to determine what order of operations is necessary.

Parentheses
Exponents
Multiply
Divide
Add
Subtract

We'll be glad to check your answer.

To simplify the expression 82 + 9(12 ÷ 3 × 2) - 7, follow the order of operations (also known as PEMDAS or BODMAS), which dictates the sequence of operations to solve an expression:

Step 1: Simplify the division and multiplication within parentheses (12 ÷ 3 × 2):
- Divide 12 by 3: 12 ÷ 3 = 4.
- Multiply the result by 2: 4 × 2 = 8.

The expression becomes: 82 + 9(8) - 7.

Step 2: Apply multiplication: Multiply 9 by 8:
- 9 × 8 = 72.

The expression becomes: 82 + 72 - 7.

Step 3: Perform addition and subtraction from left to right:
- Add 82 and 72: 82 + 72 = 154.
- Subtract 7 from the result: 154 - 7 = 147.

Therefore, the simplified expression is 147.