work this out

Question

(5-2+3)²/6*2

Answer 1

Simplify the expression in parentheses first by adding and subtracting left to right to obtain 6²/6⋅2.  Using order of operations, we evaluate 6² to get 36/6⋅2.  Finally, performing multiplications and divisions left to right yields 6⋅2 = 12.  

 

Answer 2

(5 - 2 + 3)²/6*2

 

Order of operations is PEMDAS.  First, do the subtractions and additions inside the parentheses, left to right*.

 

= 6²/6*2

 

Them do the exponent, the multiplication, then the division:

 

= 36/12

 

= 3

 

 

* This is a good example of how PEMDAS can be misleading.  PEMDAS says do additions before subtractions.  If you do that, then (5 - 2 + 3) = (5 - 5 ) = 0; but that is incorrect.  In fact, subtractions and additions are the same.  The problem is really (5 + (-2) + 3) = (3+3) = 6.