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Extending the Idea of Exponents

Module by: Kenny M. Felder. E-mail the author

Summary: This module provides sample problems designed to develop some concepts related to exponents.

Exercise 1

Complete the following table.

Table 1
x x 3x 3 x
4 3×3×3×3=81 3 3 3 3 81
3  
2  
1  

Exercise 2

In this table, every time you go to the next row, what happens to the left-hand number ( x x)?

Exercise 3

What happens to the right-hand number ( 3x 3 x )?

Exercise 4

Now, let’s assume that pattern continues, and fill in the next few rows.

Table 2
x x 3x 3 x
1  
   
   
   
   

Exercise 5

Based on this table, 30 3 0

Exercise 6

31 3 1

Exercise 7

3-2 3 -2

Exercise 8

What would you expect 3-4 3 -4 to be?

Exercise 9

Now check 3-4 3 -4 on your calculator. Did it come out the way you predicted?

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