POWERS AND EXPONENTS

Words we need to know:

exponentbasepowersquaredcubed

22 = 4 2 x 2 = 4

53 = 1255 x 5 x 5 = 125

Symbols that mean multiply

Elevated dot Ex. 3 • 3 = 9

The x Ex. 3 x 3 = 9

25 = 2x2x2x2x2 = 32

EXPONENT

Definition:

-The number that tells you how many times you multiply the base by itself. (It is the little number just above the base number.)

Example

What is the exponent in the following expressions?

1. 54

2. 43

3. 25

4

3

5

25 = 2x2x2x2x2 = 32

BASE

Definition: -The number multiplied by itself when using exponents. (The big number)

Example

What is the base of the following expressions?

1. 52

2. 104

3. 43

5

10

4

25 = 2x2x2x2x2 = 32

POWER

Definition: -A base number and exponent together.

EX: 2 to the fifth power is 32.

Let’s practice saying powers!!!!POWER

SWORD

SEXPRESSI

ONVALUE

25

54

31

43

2 to the fifth

power5 to the fourth power

3 to the first

power4 to the third power or 4 cubed

32 = 9 or 3x3 = 9

SQUARED

Definition: -Exponent of 2

-SENTENCE: 3 squared is 9.

LET’S PRACTICE SQUARED!!!

1. 22

2. 32

3. 42

4. 52

2 x 2 = 4

3 x 3 = 9

4 x 4 =16

5 x 5 = 25

103 = 1,000 or 10 x 10x 10 = 1,000

CUBED

Definition: -Exponent of 3

-SENTENCE: 10 cubed is 1000.

LET’S PRACTICE CUBED!!!!

1. 23

2. 33

3. 43

4. 53

2 x 2 x 2 = 8

3 x 3 x 3 = 27

4 x 4 x 4 = 64

5 x 5 x 5 = 125

LET’S PRACTICE POWERS AND EXPONENTS!!

POWERS

WORDS

EXPRESSION

VALUE

25

54

31

43

2 to the fifth

power5 to the fourth power

3 to the first

power4 to the third power or 4 cubed

2 x 2 x 2 x 2x 2

5 x 5 x5 x 53

4 x 4 x 4

32

625

3

64

LET’S PRACTICE POWERS AND EXPONENTS!!

3 • 3 • 3 • 3

4 • 4 • 4 • 4 • 4 • 4

7 • 7 • 7• 7• 7

2 • 2 • 2

6 • 6

Expression Powers Value

34

46

75

23

62

81

4,096

16,807

8

36