Exponents Chapter 4 Section 4.2

Objective Students will write and simplify expressions involving exponents

Vocabulary Exponent Base Exponential form Summary of order of operations

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.

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

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

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

Example Evaluate x3 if x = -5

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

Example Simplify -34 (-3)4 (1 + 5)2 1 + 52

Example x = 2, y = 5 (x – y)3 2x + y

Questions

Assignment Worksheet