Learning Resources

Outcomes

In this lesson you will

• Review the laws of exponents.
• Apply the laws of exponents to simplifying expressions with zero, negative and 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.

Prerequisites

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

• The meaning of zero and negative exponents and how to work with them.
• The meaning of rational exponents and how to work with them.
• The laws of exponents.