This document outlines 8 rules for working with exponents: 1) the power of a power property, 2) the power of a product property, 3) the product of powers property, 4) the power of a quotient property, 5) the quotient of powers property, 6) zero as a power is equal to 1, 7) even powers of -1 are 1 and odd powers are -1, and 8) negative exponents can be expressed as reciprocals. Examples are provided to illustrate each rule.

1. Working with Exponents Rules
1. Power of a Power Property
 (ab)c = a(b*c)
Example: (x3)4 = x(3*4) = x12
2. Power of a Product Property
 (a * b)c = ac * bc
Example: (2b)3 = 23 * b3 = 8b3
3. Product of Powers Property
 ab * ac = a(b+c)
Example: a4 * a5 = a(4+5) = a9
4. Power of a Quotient Property
 (a/b)c = ac / bc
Example: (2/3)3 = (23/33) = 8/27
5. Quotient of Powers Property
 ab / ac = a(b-c)
Example: z5 / z3 = z(5-3) = z2
6. Zero as a Power
 a0 = 1
Example: 40 = 1
7. Powers of -1
 Even powers of -1 are equal to 1
Example: (-1)8 = 1
 Odd Powers of -1 are equal to -1
Example: (-1)13 = -1
8. Negative Exponents
 (a-b) = 1/(ab)
Example: (5-2) = 1/(52) = 1/25