Laws of Exponents

Multiplying

100

x² ∙ x³

What is x⁵

200

x ∙ x²

What is x³

300

4b³ ∙ 8b⁴

What is 32b⁷

400

(2a²)(-3a)

What is -6a³

500

(-3b²)(-b)

What is 3b³

Dividing

100

x/x

What is 1

200

x⁴/x²

What is x²

300

x³y/x¹y²

What is x²/y

400

6ab/3ab²

What is 2/b

500

15a³b⁴/12a³b³

What is 5b/4

Exponent of Exponent

100

(a²)³

What is a⁶

200

(ab³)⁵

What is a⁵b¹⁵

300

(2a)³

What is 2³a³

400

(2a³b⁴)⁴

What is 2⁴a¹²b¹⁶

500

(7ab²c⁴)²

What is 7²a²b⁴c⁸

Negative Exponents

100

x^-1

What is 1/x

200

x^-2

What is 1/x²

300

x^-2y^-1

What is 1/x²y

400

2x^-2

What is 2/x²

500

x²y^-1

What is x²/y

Zero Exponents

100

(3a)⁰

What is 1

200

x²/x⁰

What is x²

300

3x⁰y²

What is 3y²

400

16⁰(4 + x⁰)

What is 5

500

3a(b - 2c)⁰/9a⁰

What is a/3