Applying Order of Operations in Expressions with Exponents
Evaluate exponents from left to right before you begin evaluating Big Four operations (adding, subtracting, multiplying, and dividing). The trick here is to turn the expression into a Big Four expression and then use the other basic order of operations rules.
|Contains only addition and subtraction||12 + 7 – 6 – 3 + 8||Evaluate left to right.|
|Contains only multiplication and division||18 ÷ 3 x 7 ÷ 14||Evaluate left to right.|
|Mixed-operator expression: contains a combination of
addition/subtraction and multiplication/division
|9 + 6 ÷ 3||1. Evaluate multiplication and division left to right.
2. Evaluate addition and subtraction left to right.
For example, suppose you want to evaluate the following:
First, evaluate the exponent:
At this point, the expression contains only addition and subtraction, so you can evaluate it from left to right in two steps: