10.2 Exponents Day 2.notebook Bellwork Simplify the following. 1) (12x4)(3x2) = February 11, 2016 10.2 Exponents Day 2 Objectives: TSW: 1. Use the product, power, quotient, zero, and inverse rules to simplify exponential expressions. 2) (-2x6)2(4x2)3 Jan 28­7:51 PM Laws of Exponents Quotient Rule: a m m-n an = a 11 a) x 5 = x Jan 28­7:51 PM Laws of Exponents Zero Rule: x0 = 1 a) (12x5)0 = b) -24x5 = 6x7 12 b) x12 = x0 = x c) 15x12y7 = 3x9y2 Jan 28­7:51 PM Laws of Exponents Inverse Rule: a-n = 1 an a) x-4 = b) 5-7 = x -9 c) 12x-3 = 2y Jan 28­7:51 PM Jan 28­7:51 PM Order for Simplifying Expressions Involving Exponents 1. Check for zero exponents 2. Combine like terms inside parenthesis (if possible) 3. Swap negative powers to make positive powers. 4. Use the power rule to eliminate parenthesis (if possible) 5. Use the product or quotient rule to simplify: a. Multiply or divide constants (actual numbers) b. Add or subtract exponents Jan 28­7:51 PM 1 10.2 Exponents Day 2.notebook February 11, 2016 Use the quotient rule. 1) 2) Use the zero rule. 3) (2xy5)0 = Jan 28­7:51 PM Use the inverse rule. 5) 6) Jan 28­7:51 PM Simplify 4) x0y3 = Jan 28­7:51 PM Simplify 1. Jan 28­7:51 PM Assignment 2. 10.2 Worksheet Jan 28­7:51 PM Jan 28­7:51 PM 2