# 7.4 DIVISION PROPERTIES OF EXPONENTS Algebra 7.4.

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7.4 DIVISION PROPERTIES OF EXPONENTS Algebra 7.4

Learning Targets 7.4 Language Goal Students should be able to read, write, and say expressions with exponents. Math Goal Students should be able to use division properties of exponents to evaluate and simplify expressions. Essential Question Why is it important to have properties to simplify expressions?

Warm-up

Homework Check

Quotient of Powers Property The quotient of two nonzero powers with the same base equals the base raised to the difference of the exponents.

Example 1: Finding Quotients of Powers

Example Type 2: Dividing Numbers in Scientific Notation

Example Type 3: Word Problems

Positive Power of a Quotient Property The quotient raised to a positive power equals the quotient of each base raised to that power.

Example Type 4: Finding Positive Powers of Quotients

Negative Power of a Quotient Property A quotient raised to a negative power equals the reciprocal of the quotient raised to the opposite (positive) power.

Example Type 5: Finding Negative Powers of Quotients

7.4 Extra Practice

Lesson Quiz