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

Homework

Unit 2 · Lesson 4: Properties of Exponents: Division

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

Vocabulary Steps:

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)

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.

Example # 1 Example # 2

Directions: Simplify. Write answer in standard form.

푝푝^4 ⋅푝푝^3

푝푝^6

Solution:

• 푝푝

(^4) ⋅푝푝 3
푝푝^6 =
푝푝4+3
푝푝^6

• 푝푝

7

푝푝^6 =푝푝

7−6

• 푝푝^1 표표표표 푝푝

푎푎^3 ⋅푏푏^4 ⋅푐푐^3

푎푎^2 ⋅푏푏^

Solution:

• 푎푎

(^3) ⋅푏푏 (^4) ⋅푐푐 3
푎푎^2 ⋅푏푏^1 =푎푎
3−2푏푏4−1푐푐 (^3)

• 푎푎^1 ⋅푏푏^3 ⋅푐푐^3


• 푎푎푏푏^3 푐푐^3

Example # 3

푚푚^2 푟푟^5

6 푚푚푟푟^3

Solution:

• 16 ⋅푚푚

2−1

1 ⋅

푛푛5−3

1

• 16 ⋅푚푚 1 ⋅푛푛

2

1 =

푚푚^1 푛푛^2

6

푚푚푛푛^2

6

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