Lesson 8.1 Apply Exponent Properties Involving Products After today’s lesson, you should be able to use properties of exponents involving products to simplify expressions. (CA 2.0)

Powers A power is an expression that represents repeated multiplication of the same factor.

Writing a Power A power can be written in a form using a base and an exponent.

Examples:

Multiplying powers with the same base

Product of Powers Property

Examples: Simplify the expression. Write your answer using exponents.

Finding a power of a power

Power of a Power Property

Examples: Simplify the expression. Write your answer using exponents.

Finding a power of a product

Power of a Product Property

Example: Simplify the expression. Write your answers using exponents.

Example: Simplify the expression. Write your answer using exponents.

Combining methods: Examples: Simplify the expression.