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Copyright © Swun MathCopyright © Swun Math Grade 8 Unit 2 Lesson 4 P TE

Properties of Exponents: Division

Procedural Lesson

Grade 8 · Unit 2 · Lesson 4
MC: 8.EE.1

Problem of the Day

Objective: I will simplify expressions using the properties of exponents when dividing.

Vocabulary Teacher Resources

Properties of Exponents

Power to Power (an)m= anm (Multiply)

Multiply (Like Bases) am⋅an= am+n (Add)

Power of a Product anbn=(ab)n (Keep)

Division (Like Bases) a

n

am= a

n−m (Subtract)

Considerations:

Encourage the use of expanded notation if using the property

is too difficult. Students should be able to derive the rule once

they understand the concept in exponential form. To simplify

an expression involving monomials, write an equivalent

expression in which:

• Each base appears exactly once


• There are no powers of powers


• Fractions are in simplest form

Steps:

1. Identify the base(s) and exponent(s).


2. Write in expanded form.


3. Cancel all fractions that are equivalent to 1.
   3
   3 = 1 and^

푎푎

푎푎= 1^

4. Simplify.


5. Check using the properties of exponents.

Application of MPs:

MP2: What is the relationship between the exponent in the

division problem and the quotient?

The exponents in the quotient represent the

__________________________________________.

MP6: When must there be parentheses in the answer?

The parentheses must be included in the answer

because ____________________________.

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*  * * * *

MPs

Applied MP

* Embedded MP

Student Journal Pages

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