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

1 Answer

Answer:

#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!