2016-11-1 Negative Exponents 2.notebook

2016­11­1 Negative Exponents 2.notebook
November 01, 2016
Today is Tuesday
11/1
Do Now:
­Take a calculator!
­Put phone on notecard
­Copy down tonight's HW from side board
-Negative Exponents WS
-If you owe me a test signature, I will
be checking tomorrow
Today's Objective:
Negative Exponents
2016­11­1 Negative Exponents 2.notebook
November 01, 2016
Evaluate the Powers of 2
23 = 8
22 = 4
21 =2
20 =1
2­1 =
2­2 =
Do you see a pattern??
Let's summarize what we saw on the last slide
a0 = 1 where a = 0
Negative Exponents:
1
a­n = an
2016­11­1 Negative Exponents 2.notebook
November 01, 2016
* Copy This Down!
Negative Exponents
a­n = 1n
a
Steps for NEGATIVE Exponents Only
1) Put 1 and a fraction bar
5­3
below it.
2) Keep the base the same and
put it under the fraction bar
3) Change the exponent to a positive
4) Evaluate
Negative Exponents
Rule:
1
base to the positive exponent value
Example: ­2
7
2016­11­1 Negative Exponents 2.notebook
November 01, 2016
Exercise 1
7
­3
9
­1
8 ­2
15
­2
­3
(­2)
=
6 ­3
3
­4
2016­11­1 Negative Exponents 2.notebook
Exercise 2
What about variables?
x-3
x-15
November 01, 2016
2016­11­1 Negative Exponents 2.notebook
November 01, 2016
Exercise 3
Can you write
Rewrite
1
2
using negative exponents?
1 using negative exponents
9
2016­11­1 Negative Exponents 2.notebook
November 01, 2016
Challenge
Evaluate:
1393 x
199-1
2016­11­1 Negative Exponents 2.notebook
November 01, 2016