About This Chapter
Exponents - Chapter Summary
You'll begin this chapter by exploring the formulas for the five exponent properties, including product of powers, power to a power, quotient of powers, power of a product and power of a quotient. You can also learn what to do if you have a negative or zero exponent. Then you can put all of that acquired information together to successfully simplify expressions with exponents. This chapter concludes with several lessons concerning rational exponents. You can find out how to move from rational exponents to radical expressions and then back again. By the end of this chapter, you should be familiar with:
- Order of operations for exponents or the five exponent properties
- Methods for defining zero and negative exponents
- Simplifying expressions with exponents
- Simplifying fractions
- Rational numbers and rational exponents
- Index, or root number, radicand and denominator
- Rational exponents in simplification expressions
The lessons in this chapter provide many examples and practice problems to assist you in your study. You can watch each short video lesson and return to any portions you want, by using the video tags. If you'd rather, you can use the written lesson transcripts instead, or read them in addition to viewing the videos. These lessons also include links to text lessons that further explain key terms and concepts. By taking the quiz at the end of each lesson, you can measure your understanding and find any areas that might need more attention.
1. What Are the Five Main Exponent Properties?
We'll look at the five important exponent properties and an example of each. You can think of them as the order of operations for exponents. Learn how to handle math problems with exponents here!
2. How to Define a Zero and Negative Exponent
The zero and negative exponent properties are two you will use quite a lot in mathematics. The negative exponent property can be confusing, but when you remember a couple fun ideas, you will get it right every time!
3. How to Simplify Expressions with Exponents
In this video, we will put all of the exponent properties we have learned together. Don't let lots of numbers and letters confuse you! Simplifying exponents can be easy and fun!
4. Rational Exponents
In this video, learn how to go from a rational exponent to a radical expression and back. No tricks or magic, just good math! We'll review the basics and look at a few examples.
5. Simplifying Expressions with Rational Exponents
Simplifying expressions with rational exponents is so easy. In fact, you already know how to do it! We simply use the exponent properties but with fractions as the exponent!
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Other chapters within the SAT Subject Test Mathematics Level 1: Practice and Study Guide course
- Basic Arithmetic Calculations
- Rational Numbers
- Square Roots
- Decimals and Percents
- Basic Algebraic Expressions
- Algebraic Linear Equations & Inequalities
- Algebra: Absolute Value Equations & Inequalities
- Algebra: Polynomials
- Understanding the Basics of Functions
- Algebra: Rational Expressions
- Mathematical Sequences
- Understanding Exponentials & Logarithms
- Complex and Imaginary Numbers
- Coordinate Geometry - Graphing
- Lines and Angles
- Properties of Triangles
- Properties of Circles
- Finding Perimeter, Area & Volume
- Solid Geometry
- Trigonometry Basics
- Understanding Probability & Statistics
- SAT Subject Test Mathematics Level 1 Flashcards