Warm Up Simplify 𝑦 −3 𝑥 −5 𝑥 3 𝑧 −2 𝑦 2 𝑤 −4 v 0

Continued … 6.1 Zero and Negative Exponents EQ: What are the benefits of using power properties in exponentials?

Multiplying Powers w/ Same Base 𝑎 𝑚 ∙ 𝑎 𝑛 = 𝑎 𝑚+𝑛

Multiplying Powers w/ Same Base Simplify 2 𝑐 3 5 ∙2 𝑐 1 5 = 9 −3 ∙ 9 2 ∙ 9 6 = 5 𝑥 4 ∙ 𝑥 9 ∙3𝑥= (−4 𝑐 3 ∙7 𝑑 2 )(2 𝑐 −2 ∙𝑑)=

Raising a Power to a Power (𝑎 𝑚 ) 𝑛 = 𝑎 𝑚∙𝑛

Raising a Power to a Power Simplify 𝑤 −2 𝑤 5 3 3 = 𝑥 2 𝑥 6 −4 = 𝑥 −5 − 1 2 ( 𝑥 3 2 )= 𝑧 𝑧 5 3 =

Raising a Product to a Power (𝑎𝑏) 𝑛 = 𝑎 𝑛 𝑏 𝑛

Raising a Product to a Power Simplify 2𝑧 −4 = (7 𝑚 9 ) 3 = 3 𝑔 4 −2 = 6𝑎𝑏 3 5 𝑎 −3 2 =

Exit Ticket Simplify 𝑥 2 2 3𝑥 𝑦 6 4