4.4 and 4.5 Factional and Negative Exponents
16
4.4 and 4.5 Fractional and Negative Exponents 1 April 24, 2014 4.5 and 4.6 - Fractional and Negative Exponents Up until now, you have probably only have ever seen exponents as positive integers. Exponents can also be fractional and/or negative, but these have special meanings.
-
Upload
mrs-lapage -
Category
Education
-
view
59 -
download
1
Transcript of 4.4 and 4.5 Factional and Negative Exponents
4.4 and 4.5 Fractional and Negative Exponents
1
April 24, 2014
4.5 and 4.6 - Fractional and Negative Exponents
Up until now, you have probably only have ever seen exponents as positive integers.
Exponents can also be fractional and/or negative, but these have special meanings.
4.4 and 4.5 Fractional and Negative Exponents
2
April 24, 2014
Positive Exponents
A positive exponent means that you are multiplying the base that many times...
4.4 and 4.5 Fractional and Negative Exponents
3
April 24, 2014
Fractional Exponents
When n is a natural number and x is a rational number,
Example:
4.4 and 4.5 Fractional and Negative Exponents
4
April 24, 2014
"Proof"
4.4 and 4.5 Fractional and Negative Exponents
5
April 24, 2014
Examples
4.4 and 4.5 Fractional and Negative Exponents
6
April 24, 2014
What do we do with a power like this?
Try re-writing the power using one of the other exponent laws...
4.4 and 4.5 Fractional and Negative Exponents
7
April 24, 2014
Example: Write the following form in 2 ways:
Example: Write the following in exponent form:
4.4 and 4.5 Fractional and Negative Exponents
8
April 24, 2014
4.4 and 4.5 Fractional and Negative Exponents
9
April 24, 2014
4.4 and 4.5 Fractional and Negative Exponents
10
April 24, 2014
REMINDERReciprocals
We know it as..."Bottom becomes top and top becomes bottom"
MathematicallyTwo numbers with a product of 1 are reciprocals
4.4 and 4.5 Fractional and Negative Exponents
11
April 24, 2014
Powers with Negative Exponents
When x is any non-zero number and n is a rational number, x-n is the reciprocal of xn
4.4 and 4.5 Fractional and Negative Exponents
12
April 24, 2014
Apply exponent laws and think about it...
4.4 and 4.5 Fractional and Negative Exponents
13
April 24, 2014
Example: Evaluate each power:
4.4 and 4.5 Fractional and Negative Exponents
14
April 24, 2014
We can apply rational exponents and negative exponents together to form a super exponent!!
Does order matter?
4.4 and 4.5 Fractional and Negative Exponents
15
April 24, 2014
4.4 and 4.5 Fractional and Negative Exponents
16
April 24, 2014
Example
