Question

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

Answer 1

Answer:

$8^{2} +9. (\frac{12}{3} . 2) -7 = \\ \\16+9. \frac{24}{3} -7\\ \\16+72 -7 = 81$

Step-by-step 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: $\frac{12}{3} . 2 =$

We multiply 12 by 2, and 3 by 1.  The result is $\frac{24}{3}$

Then we resolve the powers:

$8^{2} = 16$

Thirdly, we resolve the multiplications:

$9. \frac{24}{3}$ = 72

And finally, the addition:

16 + 72 - 7 = 81