1. I can represent numbers by using exponents in numerical expressions.

2. Vocabulary
exponent – tells how many times a number is used as a factor
base – the number used as a factor 73
Base
Exponent
= 7  7  7= 343

3. 73 7  7  7 343 standard form – shows the value of the number
exponential form – a number written with a base and an exponent 73
expanded form – shows the factors being multiplied
7  7  7
standard form – shows the value of the number
343

4. Note: any base to the 0 exponent is ALWAYS 1
70 = 1
40 = 1
120 = 1
90 = 1

5. Exponential Form
101
Read
“10 to the 1st power”
Multiply 10
Value

6. Exponential Form
102
Read
“10 squared,” or
“10 to the 2nd power”
Multiply
10  10
Value
100

7. Exponential Form
103
Read
“10 cubed,” or
“10 to the 3rd power”
Multiply
10  10  10
Value
1,000

8. Exponential Form
104
Read
“10 to the 4th power”
Multiply
10  10  10  10
Value
10,000

9. 54 35 Write each expression in exponential form. A. 5  5  5  5
B. 3  3  3  3  3 54
5 is a factor 4 times. 35
3 is a factor 5 times.

10. Find each value.
A. 26
B. 45 26
= 2  2  2  2  2  2
= 64 45
= 4  4  4  4  4
= 1,024

11. Lesson Quiz for Student Response Systems
5. Sarah opened a savings account, and deposited $3 on the first day. Then, each day she deposited triple the amount of the previous day for five days. How much did she deposit on the fifth day?
A. $9
B. $81
C. $243
D. $729