Simplify the expression 8² +9(12÷3 x 2) -6 Explain each of your steps.

Question

Simplify the expression 8² +9(12÷3 x 2) -6 Explain each of your steps.

Answer 1

PEMDAS

https://www.mathsisfun.com/operation-order-pemdas.html

8² +9(12÷3 x 2) -6

64 + 9(12/6) - 6

64 + (9 * 2) - 6

64 + 18 - 6 = 76

Answer 2

8² +9(12÷3 x 2) -6

I get:
64 + 9(8) - 6
= 64 + 72 - 6
= 130

http://www.wolframalpha.com/input/?i=8%C2%B2+%2B9(12%C3%B73+x+2)+-6

Answer 3

To simplify the expression 8² + 9(12 ÷ 3 x 2) - 6, we need to follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Let's break it down step-by-step:

Step 1: Simplify inside the parentheses.
Inside the parentheses, we have 12 ÷ 3 x 2. Division should be done before multiplication.

12 ÷ 3 = 4.

Now the expression becomes:
8² + 9(4 x 2) - 6.

Step 2: Simplify the multiplication.
4 x 2 = 8.

Now the expression becomes:
8² + 9(8) - 6.

Step 3: Square the number 8.
Since 8 is being squared (8²), we can calculate it as 8 multiplied by itself.

8² = 8 x 8 = 64.

Now the expression becomes:
64 + 9(8) - 6.

Step 4: Simplify the multiplication.
9 x 8 = 72.

Now the expression becomes:
64 + 72 - 6.

Step 5: Perform the addition and subtraction from left to right.
64 + 72 equals 136. Then, subtract 6 from 136.

136 - 6 = 130.

Therefore, the simplified expression is 130.

Answer 4

To simplify the expression 8² + 9(12 ÷ 3 x 2) - 6, we need to follow the order of operations: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

Step 1: Simplify any expressions in parentheses
Inside the parentheses, we have 12 ÷ 3 x 2. First, perform the division: 12 ÷ 3 equals 4. So the expression becomes 8² + 9(4 x 2) - 6.

Step 2: Perform any multiplication
Next, within the parentheses, multiply 4 by 2: 4 x 2 = 8. Now we have 8² + 9(8) - 6.

Step 3: Simplify any exponents
Since 8² means 8 raised to the power of 2, we evaluate it as 8 x 8 = 64. Thus, our expression is now 64 + 9(8) - 6.

Step 4: Perform any multiplication
Next, multiply 9 by 8: 9 x 8 = 72. Now our expression is 64 + 72 - 6.

Step 5: Perform any addition and subtraction
Finally, add 64 and 72: 64 + 72 = 136. Then subtract 6: 136 - 6 = 130.

So the expression simplifies to 130.

Explanation: We followed the order of operations (parentheses, exponents, multiplication and division, addition and subtraction) to evaluate the expression step by step, simplifying along the way. By the end, we obtained the final simplified expression of 130.