Exponential Expressions
Learning Time: 5-15 hours
Content: Exponential expressions are mathematical structures that express the multiplication of a number by itself a certain number of times. The 2025 curriculum includes exponential rules, rational exponents, and practical applications. The TYT focuses on basic rules, while the AYT focuses on logarithmic relationships.
- Basic Rules:
- Multiplication (aᵐ × aⁿ = aᵐ⁺ⁿ)
- Division (aᵐ / aⁿ = aᵐ⁻ⁿ)
- Powers of Powers ((aᵐ)ⁿ = aᵐⁿ)
- Rational Exponents:
- Zero and Negative Exponents
- Fractional Exponents (a¹/ⁿ = √ⁿa)
- Practical Calculus
- Advanced Calculus (AL):
- Relationship with Logarithms
- Complex Exponential Expressions
- Application Problems
- Applications:
- Growth and Decrease Models
- Examples from Daily Life
- Scientific Notation
- Affecting Factors:
- Exponent Value
- Base Number
- Type of Operation
Course Features
- Lectures 0
- Quizzes 0
- Duration 5 hours
- Skill level Intermediate
- Language English
- Students 15
- Assessments Yes
