1. 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 =

2. 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

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

4. 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

5. 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

6. 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?

7. Examples of Applying Properties