Zero and Negative Exponents Chapter 3 Lesson 5

HW key for Lesson 4 page 195 (1-17)
Zero and Negative Exponents
Chapter 3 Lesson 5
Warm­Up:
Complete the table using the pattern that you observe.
Exponential Form Standard Form
54
625
53
5___
5___
5___
5___
5___
Negative Exponents are the result of...
repeated division
Write each term using a positive exponent.
Write a Rule for Zero Exponents:
Example C: 6­3 =
Any number to the zero power is equal to 1.
or
(click here)
Example D: a­5 =
variable
Example A: 50 = ____
Got it? Do these to find out...
1.) 7­2 =
2.) b­4 =
3.) 50 =
4.) m­3 =
Example B: ­250 = ____
Write each fraction as an expression using a negative
exponent other than ­1.
Example G:
1
Example E: 52 =
One human hair is about 0.001 inch in diameter.
Write the decimal as a power of 10.
0.001 =
1
Example F: 36 =
Write the decimal as a fraction
=
1000 = 10__
=
Definition of negative exponent
Got it? Do these to find out...
1
1.) 83 =
1
2.)
=
4
1
3.) c5 =
1
4.)
=
27
Multiply and Divide Negative Exponents
Example H:
5 .5
3
w­1
Example I: w­4 =
Got it? Do this problem to find out...
A water molecule is about 0.0000000001
meter long. Write the decimal as a
power of 10.
­10
10
(click here)
Got it? Do these to find out...
.
1.) 3­8 32
­5
=
112
2.) 114
=
=
.
3.) n9 n­4
b­4
4.) b­7
=
=
Homework ~
Page 206 (1-13)