1. Order of Operations and Complex Fractions
Section
3.5
Order of Operations 
and Complex Fractions

2. Evaluating Fractions Raised to Powers
In the product 3  3  3  3  3, notice that 3 is a factor several times.
Objective A
The exponent, 5, indicates how many times the base, 3 is a factor.

3. Examples
Evaluate. a. b.

4. Example
Evaluate.

5. Reviewing Operations on Fractions Review of Operations on Fractions
Procedure
Example
Multiply
Multiply the numerators and multiply the denominators
Divide
Multiply the first fraction by the reciprocal of the second fraction
Add or
Subtract
Write each fraction as an equivalent fraction whose denominator is the LCD
Add or subtract numerators and write the result over the common denominator.
Objective C

6. Chapter 1 / Whole Numbers and Introduction to Algebra
Order of Operations
Chapter 1 / Whole Numbers and Introduction to Algebra
1. Perform all operations within parentheses ( ), brackets [ ], or other grouping symbols such as fraction bars, starting with the innermost set.
2. Evaluate any expressions with exponents.
3. Multiply or divide in order from left to right.
4. Add or subtract in order from left to right.

7. Example
Use the order of operations to simplify
Objective D

8. Example
Simplify:

9. Example
Simplify Complex Fractions: