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

Apr 10, 2018

$25$

#### Explanation:

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

$\textcolor{red}{{3}^{3}} - 8 \times 3 \div 12$

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

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

$\textcolor{red}{27} - 8 \times 3 \div 12$

We should multiply after that, so it will be:

$27 - \textcolor{red}{8 \times 3} \div 12$

$27 - \textcolor{red}{24} \div 12$

Division is next now,

$27 - \textcolor{red}{24 \div 12}$

$27 - \textcolor{red}{2}$

Now subtract.

$\textcolor{red}{27 - 2}$

And you get $25$.

Hope this helped!