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Published byMonica Fox Modified over 6 years ago

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**5.1 βExponentsβ Power of a Product Product of Powers (ab)m = ambm**

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

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**Exponent Properties Continued**

Negative Exponents a-m = π ππ x-3y5 = 7x-4y0z3 = Quotient of Powers ππ ππ = am-n ππ ππ = Power of a Quotient π π = ππ ππ

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**Examples of Applying Properties**

(-4 Β· 25)2 = 2. πππ πππ 6 Β· 10-4 9 Β· 107 4. b-4b6b7b0

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**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

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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

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**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 Jupiterβs mass?

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**Examples of Applying Properties**

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