Name _________________________________
Powers and Exponents
I Can: I can use my knowledge of ______________ value to write equal
expressions involving ______________.
Vocabulary:
Base:
Example:
The _____________ factor that is being multiplied by ________.
63
Exponent:
Example:
Ex. 24 = 2 x 2 x 2 x 2
63 = 6 x 6 x 6
Tells how many times the ________ is being multiplied by itself
Exponential Form/Power:
When a number is written with a _______ and an ___________.
Example:
103 is in exponential form and is
a power…10 is the base, 3 is
the exponent
How you say exponents:
**Most of the time you will hear “7 to the third” or “5 to the fourth”
More ways to say: “to the 2nd and 3rd”:
82 is “8 to the second” or “8 squared”. Since it is squared, the
measurements will form a perfect square (8 by 8).
53 is “5 to the third” or “5 cubed”. Since it is cubed, the
measurements will form a cube (5 by 5 by 5).
Draw a Picture:
Value
Exponential
Form
100,000
105
10,000
104
1,000
103
100
102
10
101
1
100
What patterns do you notice in the table?
_________________________________________
_________________________________________
_________________________________________
_________________________________________
_________________________________________
Using the same pattern, what would be the value of
Explain.
**Any base that has an exponent of 0 will = 1**
106?
Name _________________________________
Steps to Solve:
To find the base:
Look at the
that is being used as a
________________ factor. That number is your
_____________.
Write the following in exponential/power
form:
1,000= 103
How many
do you use ten as a
85
factor to have a
or 8x8x8x8x8
To find the exponent:
Look at the
of times the
being
.
of 1,000? OR
How many _________ are in 1,000? Use ____
as the base and
is
as the exponent.
Or 3x3x3x3 = 34
85
or 8x8x8x8x8
is being
multiplied five times, so five is the ___________
exponential form
You can write numbers in expanded form
using exponents.
Example 34,873
To evaluate/solve/find the value of:
2X2X2=8 think...two times two is four, four
times two is eight.
(3x104) + (4x103) + (8x102) + (7x101) + (3x100)
Examples:
1. What number is the base?
2. What number is the exponent?
83
94
Write each in exponential form.
3. 10,000
4. 7x7x7x7x7
5. 4x4x4x4x4x4
6. 3x3
Determine whether the number is a perfect square. Draw a picture.
7. 25
8. 20
Write in expanded form using exponents.
9. 1,871,498
Write in expanded form. Then evaluate.
10. 82
11. 43
12. 27
13. 94
expanded form:
expanded form:
expanded form:
expanded form:
value:
value:
value:
value: