1. 1.2 Exponents and Powers Algebra I – TA Mr. Beltz

2. Objectives:to express numbers in exponential form and to evaluate a power Try the warm-up exercise Introduction 10 can be written as the product 110 Exercise: 1)Write each number as a product, using only 10 as a factor. 2)Beside each product write the number of factors. NumberProduct Expression# of Factors 10101 10010102 1000 10,000 100,000 1,000,000 10,000,000 3) What rule can we come up with to find the number of factors or powers of 10 ? 1010 103 10 10 10 10 4 10 10 10 10 10 5 10 10 10 10 10 10 6 10 10 10 10 10 10 107

3. Exponents: Additional Notes… Squared:a number multiplied by itself x 2 - pronounced x squared = x x Cubed:a number used as a factor 3 times x 3 - pronounced x cubed = x x x Example 1: Write in exponential form: a) 7 7 7b) y y y y y 73y573y5 Example 2: Write in Standard Form: a) 3 4 b) 2 3 81 8 Exponential FormExpanded FormStandard Form 2 3 2228 2 4 2 is the base, and 4 is the power or exponent.

4. Example 3: Evaluate each exponential expression a) x 2 when x = 6b) m 2 + n 2, when m=3 and n=4 6 2 = 36 3 2 + 4 2 = 25 Example 4: A box has the shape of a cube. Each edge is 8 inches long. Find the volume in cubic inches. The volume (V) of a cube with an edge of length s is V = s 3 V = 8 3 V = 512 In Class: complete page 12 # 1 - 12 Homework: Pages 12 & 13, # 13 - 53 odd and 52