# Ch 4: Problems with Exponents

### About This Chapter

## Problems with Exponents - Chapter Summary

Use our online video lessons to learn how to simplify expressions with exponents. Experienced instructors cover a wide range of topics related to exponents in order to prepare you for the NY Integrated Algebra Regents exam. Some of the other concepts you'll go over include:

- Scientific notation
- The five main exponent properties
- Defining a zero and negative exponent
- Simplifying expressions with exponents
- Simplifying expressions with rational exponents
- Power of powers

Knowledgeable instructors lead you through each short and engaging video lesson. You can gauge your learning with self-assessment quizzes that resemble the actual problems you may encounter on the NY Regents exam. You can also access lesson transcripts and important key terms as a supplement to your learning.

### Problems with Exponents Objectives

The Integrated Algebra Regents exam is one of five tests that you must pass to earn a Regents Diploma in the state of New York. The integrated algebra test is made up of four different parts, with a total of approximately 39 questions. Most of the questions are usually multiple choice, but you'll need to fill in some of your own answers on the exam. You might also need to complete graphs, charts or number lines for certain problems. Some main topics on the exam include number theory, coordinate geometry, operations, equations, measurement, trigonometric functions and probability. You need to score a 65 or above to pass the NY Integrated Algebra Regents exam.

### 1. 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.

### 2. 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!

### 3. 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!

### 4. 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!

### 5. 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.

### 6. 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!

### 7. 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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### Other Chapters

Other chapters within the NY Regents Exam - Integrated Algebra: Test Prep & Practice course

- Number Theory & Basic Arithmetic
- Problems with Decimals and Fractions
- Problems with Percents
- Problems with Exponential Expressions
- Problems with Radical Expressions & Equations
- Problems with Algebraic Expressions and Equations
- Distributing Terms in Algebra
- Algebraic Linear Equations & Inequalities
- Understanding Matrices & Absolute Value
- Overview of Functions
- Factoring with Variables
- Quadratics & Polynomials
- Rational Expressions & Practice
- Graphing Functions
- Calculations with Ratios, Percent & Proportions
- Understanding Sets
- Understanding Probability & Statistics
- Factorials & the Binomial Theorem
- Working with Data
- Well-Known Equations
- Intro to Trigonometry
- Measurement for Algebra Students
- Geometry for Algebra Students
- About the NY Regents Examinations
- NY Regents Exam - Integrated Algebra Flashcards