Algebra 1 Student Journal Properties of Exponents

University:
High School
Course:
High School Algebra
Academic year:

2020
Views:

222

Pages:

3
Author:

Camilla Hines

6.1 Properties of Exponents Vocabulary 2⁴ = 2 * 2 * 2 * 2 = 16 2³ = 2 * 2 * 2 = 8 2² = 2 * 2 = 4 2¹ = 2 = 2 2⁰ = 1 2⁻¹ = 1/2¹ = 1/2 2⁻² = 1/2² = 1/(2 * 2) = 1/4 3⁴ = 3 * 3 * 3 * 3 = 81 3³ = 3 * 3 * 3 = 27 3² = 3 * 3 = 9 3¹ = 3 = 3 3⁰ = 1 3⁻¹ = 1/3¹ = 1/3 3⁻² = 1/3² = 1/(3 * 3) = 1/9 Rules a⁰ = 1 (always) a⁻ⁿ = 1/aⁿ (flip and be positive) aᵐ * aⁿ = aᵐ⁺ⁿ (add) aᵐ / aⁿ = aᵐ⁻ⁿ (subtract) or 1/aⁿ⁻ᵐ (if n > m) (aᵐ)ⁿ = aᵐⁿ (multiply) 7) 7/4 ÷ 1/2 = 7/4 * 2/1 = 7/2 11) 6a⁸b⁻² = 6a⁸/b² 12) 14m⁻¹/4m⁻⁴ = 14m⁻¹⁺⁴ = 14m³ 16) (-2)² = 4 19) (9⁵)³ = 9¹⁵ 20) c³ / c⁶ = 1/c³