Transcript Zero and Negative Exponents

Zero and Negative Exponents
Objective: Students will be able to
simplify expressions with zero and
negative exponents
Zero as an Exponent
A Variable raised to zero.
5
x
0
0
(2)
0
(1.25)
1
 
2
0
0
How do we solve these
equations?
Activity
Fill in the missing values of the table
25 = 32
24 = 16
23 =
22 =
21 =
20 =
35 = 243
34 = 81
33 =
32 =
31 =
30 =
105 = 100,000
104 = 10,000
103 =
102 =
101 =
100 =
Zero as an Exponent
Did you notice a pattern when it came time to
raise each number to zero?
What about ZERO raised to the zero?
Zero as an exponent
50
(2)
0
(1.25)
1
 
2
0
0
So what does that mean for
anything raised to the zero?
Negative Exponents
What happens when we have a negative
exponent?
x
x
n
n
1
 n
x
Negative Exponents
Simplify –
2
(  5)
2
( 7 )
0
3
4
1
5
2
Negative Exponents
What about expressions?
5
5 xy z
8q
w 2
Evaluating Negative Exponent Expressions
Evaluate
5
5 xy z
For X =5, Y =2, Z=4
Evaluating Negative Exponent Expressions
A sample of bacterial triples each month. The expression
5400 * 3^m models a population of 5400 bacteria
after m months of growth. Evaluate the expression
for m = -2 and m = 0.