Laws of Exponents

Multiplying

100

x²∙x³

x⁵

200

x ∙x²

x³

300

(ab)(ab)

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

Exponent of Exponent

100

(a²)³

What is a⁶

200

(ab³)⁵

What is a⁵b¹⁵

300

(2a)^3

What is 8a^3

400

(2a³b⁴)⁴

What is 16a¹²b¹⁶

500

(7ab²c⁴)²

What is 49a²b⁴c⁸

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

Mixed Bag

100

(3a)³

What is 27a³

200

x²/x⁴

What is 1/(x²)

300

(3x³)(5x²)

What is 15x⁵

400

16x⁵/4x³

What is 4x²

500

(3ab³)/(9ab³)

What is 1/3