About This Chapter
Exponents and Scientific Notation - Chapter Summary
Our lessons, led by subject experts, can quickly get you up to speed on power of powers, power of zero and exponential notation. You'll be able to simplify exponential expressions, use the order of operations and write powers of fractions after watching these quick and entertaining videos. Get started in this chapter to learn about:
- Conversion of numbers from standard to scientific notation
- Methods for solving exponential expressions
- Multiplication and division of exponential expressions
- Use of the power of zero to simplify expressions
- Importance of power of powers in the simplification process
These videos break down larger concepts into short, easy-to-follow lessons that make studying fun. You'll find lesson transcripts that highlight key terms in bold for easy reference, as well as brief quizzes keyed to the lesson that enable you to gauge your mastery of the material. If you're unsure about a concept, use the video tags to go back and review main points from the videos.
1. How to Use Exponential Notation
Exponential notation is a mathematical method for writing longer multiplication problems in a simplified manner. This lesson will define how to work with exponential notation and give some examples of how it is used.
2. Simplifying and Solving Exponential Expressions
What do we do with an exponent? In this lesson, we'll learn how to simplify and solve expressions containing exponents. We'll solve a variety of types of exponential expressions.
3. Exponential Expressions & The Order of Operations
When performing mathematical operations, there is a specific order in which the operations should be performed. This includes when to simplify the exponents. This lesson will describe in what order exponents should be solved as you are performing mathematical operations.
4. Multiplying Exponential Expressions
There are certain rules that govern working with exponential expressions. This lesson deals with the rule for multiplying exponential expressions. It will describe the rule and give some examples of how it works.
5. Dividing Exponential Expressions
Any time you work with expressions that contain exponents, you have to follow a specific set of rules that are not the same as when you are working with expressions that do not contain exponents. This lesson will describe the rules associated with dividing terms that contain exponents.
6. The Power of Zero: Simplifying Exponential Expressions
Raising a number to the power of zero is not the same as if the exponent is a number other than zero. This lesson will explain the rule involving using zero as an exponent and will give some examples of how it works.
7. Negative Exponents: Writing Powers of Fractions and Decimals
Most numbers can be written in different ways, either as a fraction, decimal or exponent. This lesson will teach you how to write fractions and decimals using exponents and how to convert between the two.
8. Power of Powers: Simplifying Exponential Expressions
Mathematics is a very logical science. There is a rule for everything and not many exceptions to those rules. Working with exponents is no different. This lesson will describe the rule for raising a power to a power and also will give some examples in how to solve them.
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