# How do you simplify 124- 3\times ( 7+ 5^ { 2} )?

Nov 21, 2016

Follow order of operations to get $28$.

#### Explanation:

Order of Operations:
P arentheses
E xponents
M ulitplication
D ivision
A ddition
S ubtraction

Lets start from the top of the list and work out way down.

$124 - 3 \cdot \left(7 + {5}^{2}\right)$

We see parentheses! Now we must simplify what's inside of them. We also see exponents. Let's simplify the exponents, and then finish simplifying inside the parentheses:

$124 - 3 \cdot \left(7 + 25\right)$

$124 - 3 \cdot \left(32\right)$

Now, moving down the list, we come across parentheses. Be careful, we are multiplying $- 3 \times 32$:

$124 + \left(- 96\right)$

$124 - 96$

Now subtract!

$28$