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Copyright © Swun Math Grade 8 Unit 2 Lesson 3 C TE

Divide Exponents

Conceptual Lesson

Grade 8 · Unit 2 · Lesson 3
MC: 8.EE.1

Problem of the Day

Objective: I will use expanded form to show division with exponents.

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:

Have students write the expanded form of an

exponential expression. Students should practice

expanding and canceling out (copies). Practice paying

attention to where the extra “copies” of terms are, and

how many. This will help support the visual

understanding of the properties.

Students can evaluate the original expression to see

the relationship between standard and exponential

form:

25

22 = 2

(^3) = 8 or 32
4 = 8^
Steps:

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


2. Write the exponential notation 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

__________________________________________.

MP4: Where are exponents used outside of school?

Outside of school, exponents are used in

_______________________________.

MPs

Applied MP

* Embedded MP

1 2 3 4 5 6 7 8

* ^ ^ *

Student Journal Pages

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