Power and Exponential Functions
Instructions
- The introductory videos below explain the concepts in this section.
- This page also includes exercises that you should attempt to solve yourself. You can check your answers and watch the videos explaining how to solve the exercises.
When you are done, you can use the graph to pick another section or use the buttons to go to the next section
Learning Objectives
- Properties of exponents applied to power and exponential expressions
- Multiplying and simplifying power expressions and exponential expressions
- Nested exponents and distributing exponents across multiplication and division
- Simplifying expressions with power and exponential functions
Concept Video(s)
Exercises
1.
- \(\dfrac{1}{3x^4y}\)
- \(2^{x-8}\cdot 3^{4-y}\)
2.
- \(\dfrac{16x^{12}}{y^4z^8}\)
- \(7^{6-3y}\cdot2^{-6x-18}\)
3.
\[\dfrac{9x^{12}}{4y^{22}z^{10}}\]
4.
\[\dfrac{81y^{16}}{2^{4x-12}z^{24}}\]