Warm up! Simplify the following 1.Paraphrase the rules for multiplying exponents? 2.What order do the exponents have to be in? 3.x 3 x 7 x x 2 4.3x 3 4x 5 2x 5.c 3 m 2 c 4 c m 5 m 6.2m 3 2p 2 3m 2 2p b 4 3x 3 b 5 x 4 x p 3 8.Critically think about how you would solve the following (2x 3 p 4 ) 8

Rule #2 What is the distributive property? (x 2 ) 4 = x (2)(4) = x 8 (x) 5 = (x 1 ) 5 = x (1)(5) = x 5 (b 3 f 4 ) 3 = b (3)(3) f (4)(3) = b 9 f 12 (2 2 c 3 g 5 ) 2 = 2 (2)(2) c (3)(2) g (5)(2) = 2 4 c 6 g 10 = 16g 10 c 6 (3p 4 v) 3 = 3 (1)(3) p (4)(3) v (1)(3) = 3 3 p 12 v 3 = 27p 12 v 3

Practice together! 1.(x 4 ) 5 2.(y 3 p 2 ) 6 3.(4z 6 b 7 x) 2 4.(2 2 c 3 b 4 a 5 ) 3

Division of exponents x 0 = 1 any number or variable to the zero power is 1. Think about the rules of multiplying! What do you think will happen when dividing exponents? x n = x n – m x m In words: If the bases are the same and they are being divided then we are allowed to subtract the exponents of that base.

Dividing exponents f 8 = f 8 – 5 = f 3 f 5 b 5 x 7 = b 5 – 2 x 7 – 4 = b 3 x 3 b 2 x 4 6 x 7 y 5 = 6 x 7 – 4 y 5 – 1 = 3x 3 y 4 = 3y 4 x 3 2 x 4 y 2