# Ch 3: Algebra II: Exponents and Exponential Expressions Review

### About This Chapter

## Algebra II: Exponents and Exponential Expressions Review - Chapter Summary and Learning Objectives

If you need a refresher on exponents, look no further. Lessons in this chapter begin by familiarizing you with exponential notation and teach you how to manage decimal points or leading and trailing zeros when writing scientific notation. Our instructors also show you how to simplify these types of expressions, so that by the end of the chapter you'll be able to solve arithmetic problems containing positive and negative exponents with ease. Lessons are designed to teach you how to:

- Write exponential and scientific notation
- Apply rules for simplifying exponential expressions
- Multiply and divide exponential expressions
- Write negative exponents as decimals and fractions

Video | Objectives |
---|---|

How to Use Exponential Notation | Discover how exponential notation is used to represent a product of multiplication. |

Scientific Notation: Definition and Examples | Learn what scientific notation is and find out how to use it when writing numbers. |

Simplifying and Solving Exponential Expressions | Find out how to simplify exponential expressions. Practice solving equations that include this type of notation. |

Exponential Expressions & the Order of Operations | Use the correct order of operations to simplify exponential expressions. |

Multiplying Exponential Expressions | Demonstrate steps for solving multiplication problems that include exponential expressions. |

Dividing Exponential Expressions | Explore methods for dividing exponential expressions. |

The Power of Zero: Simplifying Exponential Expressions | Learn rules for raising a real number to the power of zero in order to simplify exponential expressions. |

Negative Exponents: Writing Powers of Fractions and Decimals | Understand how to write negative exponents as powers of decimals or fractions. |

Power of Powers: Simplifying Exponential Expressions | Examine rules for raising one power to another power in order to simplify exponential expressions. |

### 1. 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.

### 2. 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.

### 3. 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.

### 4. 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.

### 5. 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.

### 6. 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.

### 7. 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.

### 8. 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.

### 9. 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 Algebra II: High School course

- Algebra II: Real Numbers
- Algebra II: Complex and Imaginary Numbers Review
- Algebra II: Properties of Functions Review
- Algebra II: Linear Equations Review
- Algebra II: Systems of Linear Equations
- Algebra II: Inequalities Review
- Algebra II: Absolute Value Review
- Algebra II: Graphing and Factoring Quadratic Equations Review
- Algebra II: Quadratic Equations
- Algebra II: Factoring
- Algebra II: Polynomials
- Algebra II: Rational Expressions
- Algebra II: Graphing and Functions
- Algebra II: Conic Sections
- Algebra II: Roots and Radical Expressions Review
- Algebra II: Exponential and Logarithmic Functions
- Algebra II: Sequences & Series
- Algebra II: Combinatorics
- Algebra II: Calculations, Ratios, Percent & Proportions Review
- Algebra II: Statistics
- Algebra II: Trigonometry
- Teacher Resources for High School Algebra II