How do you simplify this expression -12 ÷ 3 x (-8 + (-8) - 6) + 2 prepare you response to this question when you are ready you may submit your response requirements: include various key words you learned within this unit. list your steps in order so that anyone can follow

Use the order of operations in order to simplify (solve) the expression

-12 ÷ 3 x (-8 + (-8) - 6) + 2      Original expression
-12 ÷ 3 x (-16- 6) + 2              Inside the parenthesis do the addition of the first negatives. -8 +-8 = -16
-12 ÷ 3 x (-22) + 2                 Inside the parenthesis subtract -16-6 = -22
-4 x (-22) + 2                       Multiplication and division is worked from left to right. -12 divided by 3 is -4
88 +2                                  Multiply -4 x -22 = 88. Two negatives make a positive with multiplication.
90                                       Addition 88 + 2 = 90

The expression must be simplified using the order of operations. In this case, the terms inside the parenthesis should be simplified first. Within the parenthesis, there is a nested parenthetical term, which is simplified before the rest of the term inside the parenthesis. The +(-8) term simplifies to -8. The terms inside the parenthesis then become (-8-8-6), which is equal to -22. Then, multiplication and division are performed next, in order as they appear. So -12/3 is equal to -4. Then, -4 is multiplied by the -22 from the parenthetical expression to equal 88. Then, addition and subtraction are the final steps in the order of operations, so the 2 is added to the 88, for a total of 90.

Where z = 3m-2n

Step-by-step explanation:

An important mathematical property about the powers is that when powers of equal base are divided, the same base is placed and the exponents are subtracted.

Then we can write 1000m and 100n as powers of the same base:

Now we perform the division of powers of the same base (10)

Finally

 

Where z = 3m-2n