# How do you simplify  (4^2+6)div 11 using PEMDAS?

Mar 25, 2018

$\implies 2$

#### Explanation:

P arentheses
E xponents
M ultiplication
D ivision
A ddition
S ubtraction

$\implies \left({4}^{2} + 6\right) \div 11$

First we assess the parentheses.

$\implies \left({4}^{2} + 6\right)$

First we square $4$:

$\implies \left(16 + 6\right)$

Next, we add the two terms together:

$\implies \textcolor{b l u e}{\left(22\right)}$

Now we go back to our original expression:

$\implies \left({4}^{2} + 6\right) \div 11 = \textcolor{b l u e}{\left(22\right)} \div 11$

All we need to do is divide:

$\implies 2$