G8

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

Student Practice

Unit 2 · Lesson 2: Properties of Exponents:

Multiplication

Directions: Simplify. Write solution in exponential form and standard form.

1. 33 • 3^4

Solution:

3 3 + 4

Exponential form  37

Standard form  2,187

2. (3^3 )^4

Solution:

3 3 • 4

Exponential form  312

Standard form  531,441

3. (2x)^4

Solution:

(2)^4 (x)^4

Exponential form: 24 x^4

Standard form: 16x^4

4. (–4)^2 • (–4)^3

Solution:

(–4)2 + 3

Exponential form  (- 4)^5

Standard form  – 1,024

5. �

2

3 �

2

⋅�

2

3 �

3

Solution:

�

2

3

�

2+3

Exponential form  �^23 �

5

Standard form  24332

6. (m^2 m^3 )^2

Solution:

(m^2 )^2 (m 3 )^2

m^4 m^6

m 4 + 6

Exponential form: m^10

Standard form: m^10

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