Warm Up multiplication exponents base multiply power power multiply On Friday we learned the rules for the __________ Properties of ___________. The common _____ rule states you must ________ the exponents of common bases. The _______ to ______ rule states you must ___________ the __________ of a _________ to a ___________. exponents base multiply power power multiply exponents power power

8.2 Zero & Negative Exponents Objective: Evaluate exponents with powers of zero and negatives. Standard: (2.0) Understand & use the rules of exponents.

Zero Exponent Anything raised to the zero power is equal to 1.

Negative Exponents Any negative exponent means you flip the base in the fraction.

Simplify.

Examples

Try It Out!

Division Properties of Exponents 8.2 Division Properties of Exponents Goal: Use division properties of exponents Standard: (2.0) Understand and use the rules of exponents.

Review of Exponent Properties

Division Property of Exponents To divide powers that have the same base, subtract the exponents.

Use the Quotient of Powers Property EXAMPLE 1 Use the Quotient of Powers Property Evaluate the expression.

Checkpoint Using the Quotient of Powers Property Simplify the quotient

Use the Power of a Quotient Property EXAMPLE 2 Use the Power of a Quotient Property Simplify the quotient

Checkpoint Use the Power of a Quotient Property Simplify the quotient

Simplify Expressions using Multiple Properties EXAMPLE 3 Simplify the expression. Use only positive exponents

Simplify Expressions using Multiple Properties EXAMPLE 3 Simplify the expression. Use only positive exponents

Simplify the expression. Use only positive exponents.

Simplify the expression. Use only positive exponents.

Simplify the expression. Use only positive exponents.

Simplify the expression. Use only positive exponents.

Homework Page 370-371 #1-6, 10-12, 14-16 23-26, 37-39