G8

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

Input/Model

(Teacher Presents)

Directions: Complete the table.

Product Expanded Form Exponential Standard

24 • 2^5

(3^4 )^2

(3x)^2

Solution:

Product Expanded Form Exponential Standard

24 • 2^5 2 • 2 • 2 • 2 • 2 • 2• 2 • 2 • 2 29 512

(3^4 )^2

• Simplify the exponent outside the parentheses.
  (3^4 )(3^4 )


• Simplify the exponent inside the parentheses.
  (3 • 3 • 3 • 3)(3 • 3 • 3 • 3)

38

6561

(3x)^2

• Simplify the exponent outside the parentheses.
  (3x)(3x)


• The commutative property allows you to move
  your numbers around and not affect the product.
  3 • 3 • x • x

32 x^2

9x²

Talking Points:

 What patterns do you see?

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

power?