G8

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

Structured Guided Practice

(A/B Partners Practice)

Directions: Complete the table.

Product Expanded Form Exponential Standard

–2 • ( –2)^6

(w^2 )^3

(xy)^2

Solution:

Product Expanded Form Exponential Standard

–2 • ( –2)^6 –2 • (–2) • (–2) • (–2) • (–2) • (–2) • (–2) (–2)^7 ─^128

(w^2 )^3

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


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

w^6

w^6

(xy)^2

• Simplify the exponent inside the parentheses.
  (x • y • x • y)


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

x^2 y^2

x²y²

Talking Points:

 What patterns do you see?

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

power?