G8

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

Final Check for Understanding

(Teacher Checks Work)

Directions: Complete the table.

Product Expanded Form Exponential Standard

x^3 • x^4

(3^2 )^3

(4y)^5

Solution:

Product Expanded Form Exponential Standard

x^3 • x^4 x • x • x • x • x • x • x x^7 x

(^7)

(3^2 )^3

• Simplify the exponent outside the parentheses.
  (3^2 )(3^2 )(3^2 )


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

36

729

(4y)^5

• Simplify the exponent outside the parentheses.
  (4 • y)(4 • y)(4 • y)(4 • y)(4 • y)


• Use the commutative property to rearrange.
  4 • 4 • 4 • 4 • 4 • y • y • y • y • y

45 y^5

1024y^5