About This Chapter
ACT Math: Exponents - Chapter Summary
Check out the lessons in this chapter on exponents in your review of algebraic fundamentals for the ACT. Our user-friendly video lessons revisit the following crucial topics:
- Five properties of exponents
- Simplifying expressions with exponents
- Defining zero and negative exponents
- Rational exponents
- Simplifying expressions with rational exponents
After watching the video lessons, make sure that you work your way through the quizzes to see how you're doing. Go back to any concepts that still need more work. Your success on the math portion of the ACT may determine your placement in college-level courses.
ACT Math Objectives
Test questions concerning algebraic concepts make up 55% of the ACT math exam. The test addresses many of these topic areas:
- Properties of square roots and exponents
- Substitution for evaluation of algebraic expressions
- Expressing functional relationships using variables
- Understanding algebraic operations
- Rational and radical expressions
- Sequences and patterns
- Systems of equations
You'll have an hour to complete 60 multiple-choice questions within the math portion of the ACT, demonstrating your logic skills in solving math problems. All the problems are solvable with paper and pencil, and the test booklets have a space for you to write out your calculations. You may use approved models of calculators, however. Check with the ACT students' site for details. Your results will include an overall score, in addition to sub-scores for pre-algebra/elementary algebra, intermediate algebra/coordinate geometry and plane geometry/trigonometry.
Our video lessons will assist your review. Begin with the properties of exponents and then go over simplifying expressions and rational exponents. Take the self-assessment quizzes to find out if any areas still need more attention.
1. What Are the Five Main Exponent Properties?
Exponents have several properties which are used to rewrite expressions and simplify them. Learn about exponents and the five main properties used for simplifying exponential expressions.
2. How to Multiply by Powers of 10
Multiplying by powers of ten is one of the most commonly used math skills, and one of the easiest to learn. In this lesson, you will learn several tricks to help you remember this fundamental, versatile math skill.
3. How to Simplify Expressions with Exponents
Expressions with exponents can be simplified using the following properties: Product of Powers, Power to a Power, Quotient of Powers, Power of a Product, and the Zero Property. Learn to simplify expressions with exponents by solving practice problems included in this lesson.
4. How to Define a Zero and Negative Exponent
Exponents of mathematical terms and expressions can be negative numbers or zero. Learn about zero and negative exponents, and how to use their properties in simplifying expressions.
5. Rational Exponents
When exponents are written as fractions, they become rational exponents, such as ''x''^(2/3), ''y''^(1/2). Investigate the conversion of rational exponents to radical expressions.
6. Simplifying Expressions with Rational Exponents
Rational exponents can be simplified by following the rules and properties of exponents. Learn about exponents and their properties, and how to change rational exponents into radical forms.
Earning College Credit
Did you know… We have over 220 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.
To learn more, visit our Earning Credit Page
Transferring credit to the school of your choice
Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.
Other chapters within the ACT Prep: Practice & Study Guide course
- ACT: About the Test
- ACT English: Section Overview
- ACT English: Punctuation
- ACT English: Grammar and Usage
- ACT English: Sentence Structure
- ACT English: Production of Writing
- ACT English: Style
- ACT Writing: Overview
- ACT Writing: Essay Skills
- ACT Reading: Overview
- ACT Reading: Question Types
- ACT Reading: Understanding Reading Passages
- ACT Reading: Word Meanings and Choice
- ACT Reading: Analyzing Reading Passages
- ACT Reading: Practice
- ACT Math: Overview
- ACT Math: Number & Quantity
- ACT Math: Pre-Algebra
- ACT Math: Algebraic Expressions
- ACT Math: Radicals
- ACT Math: Linear Equations
- ACT Math: Functions
- ACT Math: Types of Functions
- ACT Math: Absolute Value
- ACT Math: Matrices
- Vectors in Math
- ACT Math: Inequalities
- ACT Math: Probability, Combinations & Factorial
- ACT Math: Data and Statistics
- ACT Math: Polynomials and Quadratics
- ACT Math: Rational Equations and Expressions
- ACT Math: Sequences
- ACT Math: Complex Numbers
- ACT Math: Exponentials and Logarithms
- ACT Math: Coordinate Geometry
- ACT Math: Conic Sections
- ACT Math: Triangles
- ACT Math: Plane Geometry
- ACT Math: Lines and Angles
- ACT Math: Trigonometry
- ACT Science Reasoning: Overview
- ACT Science Reasoning: Fundamentals of Science
- ACT Science Reasoning: Evaluating Models
- ACT Prep Flashcards