Download Negative Exponents

Math 31
Activity # ____
Negative Exponents
Your Name: ___________________ Team Member #1_______________
#2______________ #3__________________
Two of The Rules of Exponents: Fill in the blanks below.
_____________________________________________________________________
| Definition: If b is a non-zero real number ( b  0 ) and n is a natural number,
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|
|
1
| b (n )  ________
|
 ________
 n 
b
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|
_____________________________________________________________________|
Group Activity: Rewrite each exponential expression below with a positive exponent and then simplify.
Graph the simplified form on the number line below and write the corresponding letter above the point
and solve the “word puzzle”. Problem #1 is done as an example.
1) “L”  2
1

1
 21
1

2
2) “M”
4  10
1
3) “H”
 10

 10

1  1

1 

4) “K”
0
5
1
L
            


1
1
5) “T”

32
2
0
2
6) “E”
 4 2
1
7) “A”
2 1
8) “I”
 3  3
Group Activity: Rewrite each exponential expression below with a positive exponent(s) and then simplify.
Order the simplified form on the line below and write the corresponding letter above the point
and solve the “word puzzle”. Problem #9 is done as an example.
9) " P"
4 2
2
4 2
1
 2
1
2

2

1
4
2
10) " M"
2 3 
1
11) " Y"  2 1  51
1
12) " L"  4 1
22
1

4
16
2 3
13) "S"
2  2 3
14) " C" 2
1
1
 3
1
 2 2 
15) " I"   3 
2



1
4
16
1

4

P
                                                
1
4
“Challenge!”
16) " O"  8
1
  2  2

 4  3


1
16