G8

Copyright © Swun Math Grade 8 Unit 2 Lesson 1 C TE

Input/Model

(Teacher Presents)

Directions: Complete the table.

Product Expanded Form Power

22 • 2^4

(3^2 )^3

(2 • 3)^3

Solution:

Product Expanded Form Power

22 • 2^4 2 • 2 • 2 • 2 • 2 • 2 26

(3^2 )^3

• First, simplify the exponent outside the
  parentheses.
  (3^2 )(3^2 )(3^2 )


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

36

(2 • 3)^3

• First, simplify the exponent on the parentheses
  (2 • 3)(2 • 3)(2 • 3)


• Use the commutative property to rearrange
  numbers; keep solution in exponential notation.
  23 ⋅ 33

63

Talking Points:

 What patterns do you see?

 What relationship do you see between the exponents in the product and the exponents in the

power?