# How do you use PEMDAS to simplify (5+22)*(35-27)+6^2?

Aug 10, 2016

$252$

#### Explanation:

Rather than blindly following PEDMAS or PEMDAS or BODMAS etc, which often leads to wrong answers, work in each term separately Look for the strongest operations of powers and roots first, then multiply and divide,

Each term simplifies to a single answer and they are then added or subtracted in the last step.

If a weaker operation MUST be done first, it will be shown in parentheses.

color(red)((5+22))xx color(red)((35-27)) color(blue)(+6^2)" has two terms

=$\textcolor{red}{\left(27\right)} \times \textcolor{red}{\left(8\right)} \textcolor{b l u e}{+ 36}$

=$\textcolor{red}{216} + \textcolor{b l u e}{36}$

=$252$