Exponent Rules

Product Rule

100

x² ∙ x³

What is x⁵

200

x ∙ x²

What is x³

300

(ab)(ab)

What is a²b²

400

2a²  ∙  (-3a)

What is -6a³

500

-3b² ∙ (-b)

What is 3b³

Zero/Negative

100

b⁰ =

1

200

Restate with a positive exponent:

x^{- 1}

What is 1/x

300

Simplify:

4  ∙ 8⁰ + 2

6

400

Simplify (write with a positive exponent):

5x^{- 3}

5/x³

500

Find the value:

(2^{- 3}) ∙ 4²

2

Power of a Power

100

(a²)³

What is a⁶

200

(ab³)⁵

a⁵b¹⁵

300

(2a)³

8a³

400

(2a³b⁴)⁴

16a¹²b¹⁶

500

(7abc²)²

49a²b²c⁴

Exponent Basics

100

What is the base?

3⁶

What is 3

200

Find the value:

2⁷

128

300

State the expanded form:

(ab)³

ab ∙ ab ∙ ab

400

Restate in an exponential form:

7 ∙ 7 ∙ 7 ∙ 7 ∙ 7

7⁵

500

What is the base?

(xy)³

xy