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Powers and Exponents

A power is the product of multiplying a number by itself.

Usually, a power is represented with a base number and an exponent. The base number tells what number is being multiplied. The exponent, a small number written above and to the right of the base number, tells how many times the base number is being multiplied.

For example, “6 to the 5th power” may be written as “65.” Here, the base number is 6 and the exponent is 5. This means that 6 is being multiplied by itself 5 times: 6 x 6 x 6 x 6 x 6

6 x 6 x 6 x 6 x 6 = 7,776 or 65 = 7,776

base number

2nd power

3rd power

4th power

5th power

1

1

1

1

1

2

4

8

16

32

3

9

27

81

243

4

16

64

256

1,024

5

25

125

625

3,125

6

36

216

1,296

7,776

7

49

343

2,401

16,807

8

64

512

4,096

32,768

9

81

729

6,561

59,049

10

100

1,000

10,000

100,000

11

121

1,331

14,641

161,051

12

144

1,728

20,736

248,832


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