Laws of Exponents

Multiplying

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

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

Power to a Power

100

(a²)³

What is a⁶

200

(ab³)⁵

What is a⁵b¹⁵

300

(2a)³

What is 8a³

400

(2a³b⁴)⁴

What is 16a¹²b¹⁶

500

(4xy) (2x³y²)²

What is 16x⁷y⁵

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 1/4x²

500

x^-6 / x^-4

What is 1/x²

Mixed Bag

100

(3a)³

What is 27a³

200

9x⁰

What is 9

300

(3x³)(5x²)

What is 15x⁵

400

16x⁰/4x⁰

What is 4

500

(9ab²)⁰ (2a²)²

What is 4a⁴