Is the answer to 6^2 / 2(3) + 4 = 10 or 58, and why?

Answer 1

6²/(2/3) + 4 = 10 or 58 this problem hinges on PEMDAS I added the parenthesis so that the question would read better in this format...When we think of why the order of operations work, we think in terms of values bound together as expressions. We start with exponents. the number 6² does represent a single value bound to itself and is really as read 36. do anything else to the bound number and it becomes a different number than what it is. so we have a 36 over 2/3 and it's best to think of that form as a fraction over a fraction 36/1 over 2/3 (flip and multiply) you have 36/1 times 3/2 (divide 2 first) 18/1 times 3/1 (multiply) 54/1 or 54 then (add) +4. 58 is the answer 10 represents a PEMDAS error