1. Aim: What are the product and power rules of exponents?
Do Now: Simplify the following expressions
1. 𝑥∙𝑥
2. 𝑥∙ 𝑥 2
3. 𝑥∙𝑦

2. Product Rule for Exponents: 𝑥 𝑎 ∙ 𝑥 𝑏 = 𝑥 𝑎+𝑏
Power Rule for Exponents: 𝑥 𝑎 𝑏 = 𝑥 𝑎𝑏
1. 2x2 • 3x4
2. (2x2y)(7xy3z2)
3. (x3)2
4. (-5xy4z2)4

3. Find the product of each of the following monomials.
1. ( 5𝑥 2 )( 3𝑥 6 )
2. −2𝑥 −6 𝑥 4
𝑥 𝑥 10
𝑥 4 −4 𝑥 4 2

4. 5. 𝑥 2 𝑛 ∙ 𝑥 2 3
𝑥 𝑥 𝑥 2
If 𝑥=5 𝑎 4 ,and 𝑎=2 𝑏 3 ,
express 𝑥 𝑖𝑛 𝑡𝑒𝑟𝑚𝑠 𝑜𝑓 𝑏

5. Use the distributive property to multiply the following monomials and polynomials.
1. 2x(5x+3)
𝑥 3 (2 𝑥 3 −3𝑥+6)
3. −7 𝑥 2 ( 𝑥 2 −2𝑥+3)
4. 3 𝑥 2 𝑦 4 (2 𝑥 2 𝑦+𝑥 𝑦 2 −4 𝑦 3 )