G8

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

Homework

Unit 2 · Lesson 2: Properties of Exponents:

Multiplication

Example

Directions: Complete the table.

Product Expanded Form Exponential Standard^

24 • 2^5 2 • 2 • 2 • 2 • 2 • 2• 2 • 2 • 2 29

512

(3^4 )^2

• First, simplify the exponent outside the
  parentheses.
  (3^4 )(3^4 )


• Next, simplify the exponent inside the
  parentheses.
  (3 • 3 • 3 • 3)(3 • 3 • 3 • 3)

38

6561

(3x)^2

• First, simplify the exponent outside the
  parentheses.
  (3x)(3x)


• Use the commutative property to rearrange
  numbers.
  3 • 3 • x • x

32 x^2

or

9x^2

9x²