Ch 21: SHSAT Math: Exponents & Exponential Expressions

About This Chapter

Brush up on your knowledge of exponent properties and exponential expressions in preparation for the math section of the SHSAT. These videos and quizzes offer information and practice that can help you tackle test questions on these topics.

SHSAT Math: Exponents & Exponential Expressions - Chapter Summary

Use the lessons in this chapter to refresh your understanding of exponents and operations with exponential expressions as you study for the math portion of the SHSAT. Our videos can aid you in answering test questions on topics including:

  • Five main exponent properties
  • Defining a zero and negative exponent
  • Rational exponents to radical expressions
  • Converting numbers to scientific notation
  • Ways to use exponential notation
  • Solving and simplify exponential expressions
  • Dividing and multiplying exponential expressions
  • Negative exponents

These witty lessons are available anytime on computer, tablet or smartphone. They're short, averaging about five minutes, and include clickable timelines that lets you quickly locate areas you wish to re-visit without having to watch the whole lesson again. You can assess your knowledge through lesson quizzes, chapter exams and a comprehensive end-of-course test.

SHSAT Math: Exponents & Exponential Expressions Chapter Objectives

Taking the SHSAT is part of the application process for admission to New York City's specialized high schools. The SHSAT has verbal and mathematics components. The math section contains 50 multiple-choice questions which ask you to solve a problem and then select the correct answer from several choices.

Our lessons are accompanied by short multiple-choice quizzes that are in the same format you'll find on the SHSAT. Along with providing experience answering these types of questions, the quizzes let you gauge your learning and see where you need extra study. The answer key includes links back to the lesson video, so if you miss a question, it's easy to jump right back to that point for review.

13 Lessons in Chapter 21: SHSAT Math: 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!

Scientific Notation: Definition and Examples

6. Scientific Notation: Definition and Examples

Scientific notation is a special way of writing numbers so they are easier to work with. This lesson will define scientific notations and show some examples of how to convert numbers from standard notation to scientific notation and back.

How to Use Exponential Notation

7. 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

8. 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

9. 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

10. 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

11. 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

12. 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

13. 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.
Not Taken

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