Exponent and Square Root Review

Square Roots

100

What is the square root of 9?

3

200

What is the square root of 121?

11

300

What is the square root of 324?

18

400

What is the square root of 256

16

500

What two integers does the square root of 250 fall between?

15 and 16

Positive Exponents

100

4³

64

200

5¹

5

300

12⁰

1

400

23³

12,167

500

2²²

4,194,304

Negative Exponents

100

3^-3

1/27

200

2^-5

1/32

300

6^-3

1/216

400

8^-1

1/8

500

1^-1

1

Negative exponents and negative bases

100

-5²

-25

200

(-2)⁵

(-2) x (-2) x (-2) x (-2) x (-2)= -32

300

7^-2

1/7² = 1/ 7 x 7 = 1/49

400

(-5)^-2

1/(-5)² = 1/(-5) x (-5) = 1/25

500

-5^-3

1/-5³ = 1/ -(5x5x5) = 1/-125

Expanded Form

100

8³

8 x 8 x 8

200

6⁷

6 x 6 x 6 x 6 x 6 x 6 x 6

300

(-4)³

-4 x -4 x -4

400

4^-2

1/(4x4)

500

(-8)^-4

1/(-8 x -8 x -8 x -8)