Question

Simplify the expression 8^2 + 9 (12/3 x 2)-7. Explain each of your steps

Answer 1

`8^(2) +9. ((12)/(3) . 2) -7 = \\ \\16+9. (24)/(3) -7\\ \\16+72 -7 = 81`

Explanation:

In order to resolve correctly this combined calculation, we need to resolve it in order:

First, the operation in parenthesis. Secondly, the powers. Then multiplications and divisions, and after all, substraction and adittion.

So, we first resolve the parenthesis:
`(12)/(3) . 2 =`

We multiply 12 by 2, and 3 by 1. The result is
`(24)/(3)`

Then we resolve the powers:

`8^(2) = 16`

Thirdly, we resolve the multiplications:

`9. (24)/(3)` = 72

And finally, the addition:

16 + 72 - 7 = 81