Copyrightamberpasillas2010. Talk to your partner: What is a general rule for the value of any number...
-
Upload
roy-hampton -
Category
Documents
-
view
217 -
download
0
description
Transcript of Copyrightamberpasillas2010. Talk to your partner: What is a general rule for the value of any number...
copyright©amberpasillas2010
copyright©amberpasillas2010
Talk to your partner: What is a general rule for the
value of any number raised to the zero power: a0 =
0 1a
copyright©amberpasillas2010
01) 6 Simplify.
02) -2
03) 9
1 1
1 1
0 1x
copyright©amberpasillas2010
You do NOT want to have negative exponents in your answer. An expression is NOT simplified when there is a negative exponent.
Turn and Talk:
What is a general rule for the value of any number to a negative power? a-x =
copyright©amberpasillas2010
MEMORIZE this saying….“JUMP the LINE
&CHANGE the EXPONENT’S SIGN”
copyright©amberpasillas2010
Definition of Negative Exponent
For any integer n, a-n is the reciprocal of an 1
nna
a
copyright©amberpasillas2010
Definition of Negative Exponent
For any integer n, a-n is the reciprocal of an
11 12
2
copyright©amberpasillas2010
Definition of Negative Exponent
For any integer n, a-n is the reciprocal of an
copyright©amberpasillas2010
Remember the saying….“JUMP the LINE
&CHANGE the EXPONENT’S SIGN”
And think about the next slide….
copyright©amberpasillas2010
What if the negative exponent is in the denominator?
copyright©amberpasillas2010
Simplify.11) 3
23) 5 24) 6
13
215
125
214
116
216
136
A negative exponent is an inverse!1x 1
xFlip the number over to make the exponent positive!
1 1
1
copyright©amberpasillas2010
Follow the Pattern!2
1010101010
3
4
5
100
1,00010,000
100,000
10110
110
-1 = 0.1
10-2
1
110 2
1100 = 0.01
10-3 110 3
11000 = 0.001
copyright©amberpasillas2010
Zero Exponent:
Negative Exponent:
0 1a 1
nna
a
copyright©amberpasillas2010
Simplify.
11) 2
13) 5
22) 10
34) 2
12
15
21
101
100
312
18
1n
naa
1 1
1 1
copyright©amberpasillas2010
Identity Property Why It Works43 3 3 3 3 33 3 3 3 23 3 313 303 1
11
11
3 2 3 -2
9 2
13
919 = 1
Any number to the zero power is ALWAYS ONE.
x0 = 1