1. Exponents
Chapter 4
Section 4.2

2. Objective
Students will write and simplify expressions involving exponents

3. Vocabulary
Exponent Base Exponential form Summary of order of operations

4. Concept
In the expression 54 the number 4 is called the exponent and the number 5 is called the base. We call 54 the exponential form of 5 * 5 * 5 * 5. The exponent tells you how many times the base is used as a factor.

5. 51 = 5 52 = 5 * 5 53 = 5 * 5 * 5 54 = 5 * 5 * 5 * 5 Factors = exponent
Concept
51 = 5 52 = 5 * 5 53 = 5 * 5 * 5 54 = 5 * 5 * 5 * 5 Factors = exponent

6. Example
Write each expression in exponential form 6 * 6 * 6 * 6 a * a * a * a * a * a -2 * p * q * 3 * p * q * p

7. (2y)3 means (2y)(2y)(2y) 2y3 means 2 * y * y * y

8. Example
Evaluate x3 if x = -5

9. Concept Summary of Order of Operations
Simplify expressions within grouping symbols
Simplify powers
Simplify products and quotients in order from left to right
Simplify sums and differences in order from left to right

10. Example
Simplify -34 (-3)4 (1 + 5)

11. Example
x = 2, y = 5 (x – y)3 2x + y

12. Questions

13. Assignment
Worksheet