Question

How do you simplify `3^3- 8 times 3 ÷ 12` using order of operations?

Answer 1

`25`

Explanation:

According to PEMDAS, (do I even need to say this?) exponents should go first.

`color(red)(3^3)-8times3div12`

In my own words, exponents are numbers which shows how many times the main number must multiply by itself like this: `3times3xx3`

So, 3 times 3 is 9, 9 times 3 is 27.

`color(red)(27)-8xx3div12`

We should multiply after that, so it will be:

`27-color(red)(8times3)div12`

`27-color(red)(24)div12`

Division is next now,

`27-color(red)(24div12)`

`27-color(red)(2)`

Now subtract.

`color(red)(27-2)`

And you get `25`.

Hope this helped!