 # 5.1 “Exponents” Power of a Product Product of Powers (ab)m = ambm

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5.1 “Exponents” Power of a Product Product of Powers (ab)m = ambm
Properties of Exponents: Product of Powers am · an = am+n 23 · 24 = x4 · x8 = Power of a Power (am)n = amn (32)3 = (y5)3 = Power of a Product (ab)m = ambm (2 · 3)3 = (5x)2 = Zero Exponent a0 = 1 40 = (a + b)0 =

Exponent Properties Continued
Negative Exponents a-m = 𝟏 𝒂𝒎 x-3y5 = 7x-4y0z3 = Quotient of Powers 𝒂𝒎 𝒂𝒏 = am-n 𝒙𝟖 𝒙𝟑 = Power of a Quotient 𝒂 𝒃 = 𝒂𝒎 𝒃𝒎

Examples of Applying Properties
(-4 · 25)2 = 2. 𝟏𝟏𝟓 𝟏𝟏𝟖 6 · 10-4 9 · 107 4. b-4b6b7b0

Examples of Applying Properties
(x-2y-4z)-3 (x5y-3z4)-2 c-3d 4c4d-2 7. (-5x-3y6z0)-3 8. (7x-3y7z-4)(3-2x0y-4z-1) -4

Scientific Notation 1. A swarm of locusts may contain as many as 85 million locusts per square kilometer and cover an area of 1200 square kilometers. About how many locusts are in such a swarm? 85,000,000 x 1200

Scientific Notation Examples
(4.5 x 10-4)(8.2 x 1012) 9.8 x 1011 3.6 x 1017 4. The mass of Saturn is about 5.7 x 1026 kilograms. The mass of Jupiter is about 3.7 x 1027 kilograms. About how many times greater is Jupiter’s mass?

Examples of Applying Properties

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