Learning Resources

Outcomes

In this lesson you will

• Use graphs of exponential functions to help you discover the meaning of rational exponents.
• Convert between exponential and radical form of an expression.
• Evaluate expressions that contain rational exponents.

By the end of this section you should be able to:

• Demonstrate an understanding of the role of real numbers in exponential and logarithmic expressions and equations.
• Apply real number exponents in expressions and equations.
• Demonstrate an understanding of the relationships that exist between arithmetic operations and the operations used when solving equations.
• Solve exponential and logarithmic equations.
• Solve problems involving exponential and logarithmic equations.
• Model real-world phenomena using exponential functions.
• Describe and translate between graphical, tabular, written, and symbolic representations of exponential and logarithmic relationships.

Introduction

In this section you will be introduced to rational exponents. You will use them to solve exponential equations and simplify complex exponential expresssions.

Prerequisites

To be successful in this lesson, it would be helpful to know the following:

• How to solve exponential equations by converting powers to the same base.
• The meaning of zero and negative exponents and how to work with them.