When is order of operations not applies in exponents?

Question

36-4x6

What happened t Order of Operations?  HOw can this be a possile solution?

One possible solution could be 36 - 4 x 6 = 192, if we choose to evaluate the expression as follows:

then 36-4=32

32x6=

Answer 1

The order of operations always applies in equations. I like to remember the order of operations as:

Please Excuse MyDear AuntSally or Parentheses (Grouping Symbols), Exponents, Multiply/Divide left to right, and finally Add/Subtract left to right.

It appears in your problem that there are no exponents, which are little raised numbers to the right of a regular number. In computer, we usually write it as: 4^2, which would mean 4 times 4 which is 16.

In your equation, it looks like you are supposed to put in grouping symbols or parentheses. In order to get 192 as the answer, you would place the parentheses like this:

(36-4) x 6

32 x 6

192

Without any grouping symbols, you must follow the order of operations, which would mean that you would multiply first, then subtract:

32 - (4 x 6)

32 - 24

8

But that doesn't yield your required answer of 192.

I hope that clarifies what you need to do first.

Answer 2

Perhaps you meant 4^6?  I don't see an exponent either.

Answer 3

1. Parentheses  2. Exponents 3. Multiplication or Division (right to left) 4. Addition or subtraction (right to left) is the order of operations, so 4*6 which equals 24 which is done before 36-4 (multiplication before subtraction), so actually it is 36-24  = 12.  Where is the exponent?