Working with Exponents Unit
- 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
- 2. What is your favorite way to multiply binomials? Two-dimensional Modeling, algebra tiles, distributive property, FOIL method