9.1 Powers and Exponents Objective: students will lear what powers are and how to write them. They will also apply order of operations and evaluate them.

Properties of powers Power: repeated multiplication of same number Ex: 43 is 4 x 4 x 4 Power has 2 parts: Base: number being multiplied 23 Exponent: number of times multiplying

Identify the base and exponent for each 24 63 25 Student 106 419 178

Write as repeated math or as exponential form 3 x 3 x 3 x 3 x 3 2 x 2 x e x e x f 27 5.3 x 5.3 6 x 6 x 6 x u x u x p x p 135

Student: Write as repeated math or exponential form 3 x 3 x 3 74 4 x 4 x 4 x 4 x j x k x k x k 2.3 x 2.3 x I x I x I x e x e x e x e x e 1.92 2 x 2 x 2 x 2 x 2 x 2

Evaluate Powers with Variables Evaluate expression when h = 4, h3+ 4 Ex: Evaluate expression of x3 - 2 when x = 3.

Student Examples Evaluate y3 – 6 when y = 7 Evaluate x2 when x = 1.2

Powers in formulas Some formulas involve exponents! Area Volume Area measured in square units: s2 In2, m2, ft2 Volume measured in cubed units: s3 In3, m3, ft3

Powers in formulas Find area Find volume 2 12

Student Examples Find area Find volume 5ft 5cm 8ft 9 in

Wrap - up Questions/Comments Hw: Workbook pg. 115