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Warm-up: Exponent Laws
Use exponent Laws to simplify each of the following: a) x3x2 b) y2y-4 c) (d5)-2 d) e) f)
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Exponential Equations
LG: I can evaluate exponential equations
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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)
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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?
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Example 2: Evaluating Expressions with Exponents
Evaluate when a = 1, b = -2, and c = 3 (a-2b)(a3b4) Simplify, then sub in given values
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Example 3: Evaluating Expressions with Exponents
Evaluate when a = -3 and b = 4 (a5b2)3 (2a2b)5 Simplify, then sub in given values
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Practice Pg # 7-10, 12, 14
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