Warm-up: Exponent Laws Use exponent Laws to simplify each of the following: a) x 3 x 2 b) y 2 y -4 c) (d 5 ) -2 d) e) f)

Exponential Equations LG: Given a aI can evaluate exponential equations

Exponential Equations a = initial value b = growth/decay factor  b > 1 = Growth (y-values get progressively bigger)  b < 1 = Decay (y-values get progressively smaller)

Example 1: A strain of bacteria currently has a population of 124 cells and doubles every hour. – What do x and y represent? – Is this growth or decay? – How many cells will be present in 4 hours? 2 hours ago? – How would the equation change if the strain of bacteria began with 62 cells and tripled every hour?

Example 2: Evaluating Expressions with Exponents Evaluate when a = 1, b = -2, and c = 3 (a -2 b)(a 3 b 4 )

Example 3: Evaluating Expressions with Exponents Evaluate when a = -3 and b = 4 (a 5 b 2 ) 3 (2a 2 b) 5

Homework Pg. 363 # 7-10, 12, 14 Quiz Tomorrow: Simplifying and Solving Exponential Expressions