Ch 14: HSPT Test: Exponents & Exponential Expressions

About This Chapter

This chapter on exponents and exponential expressions is designed to help your eighth grader get ready for HSPT test questions. Online video lessons are included along with several multiple-choice self-assessment quizzes.

HSPT Test: Exponents and Exponential Expressions - Chapter Summary

In order to prepare your student for the HSPT test, this chapter is designed to help with understanding the rules for working with rational exponents and negative exponents as well exponential expressions and radical expressions. The chapter's online video lessons outlines step-by-step techniques for rewriting a rational exponent, writing an exponent as a fraction, solving exponents in the correct order and dividing expressions that have exponents. Studying the animated lessons could result in your student's ability to:

  • Identify the five exponent properties
  • Understand the negative exponent
  • Simplify and solve expressions with exponents and rational exponents
  • Define a rational exponent
  • Use exponential notation and the order of operations
  • Multiply and divide exponential expressions according to the rules
  • Understand the rule for zero
  • Write decimals and fractions with exponents

This chapter's online lessons can be accessed any time of the day or night. A mobile device is all that's needed to learn about exponents and exponential expressions. In order to maximize learning opportunities, a student can check out the written transcripts and click on the course links to review additional information. The short quizzes at the end of each lesson can ensure that your student is up to the educational challenge of correctly answering some of the mathematics questions on the HSPT test.

HSPT Test: Exponents and Exponential Expressions Chapter Objectives

The HSPT test includes a Mathematics category along with Reading, Quantitative, Language Skills and Verbal sections. Overall, there are 298 multiple-choice test question on the 2.5-hour assessment. Your child will have 45 minutes to answer the '64 multiple-choice questions in the math section, including some on exponents and exponential expressions. A point is added to the test score for every correct answer, but there are no penalties for wrong answers.

12 Lessons in Chapter 14: HSPT Test: Exponents & Exponential Expressions
Test your knowledge with a 30-question chapter practice test
What Are the Five Main Exponent Properties?

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!

How to Define a Zero and Negative Exponent

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!

How to Simplify Expressions with Exponents

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!

Rational Exponents

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.

Simplifying Expressions with Rational Exponents

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!

How to Use Exponential Notation

6. 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.

Simplifying and Solving Exponential Expressions

7. 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.

Exponential Expressions & The Order of Operations

8. 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.

Multiplying Exponential Expressions

9. 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.

Dividing Exponential Expressions

10. 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.

The Power of Zero: Simplifying Exponential Expressions

11. 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.

Negative Exponents: Writing Powers of Fractions and Decimals

12. 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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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