Rules of Exponents

Multiplying

100

x²∙x³

What is x⁵

200

x ∙x²

What is x³

300

(ab)(ab)

What is a²b²

400

(2a²b³)(-3ab⁴)

What is -6a³b⁷

500

(-3a¹¹b²c⁴)(-a²bc⁵)

What is 3a¹³b³c⁹

Dividing

100

x/x

What is 1

200

x⁴/x²

What is x²

300

(x³y)/(xy²)

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

(7ab²c⁴)²

What is 49a²b⁴c⁸

Negative Exponents

100

x^-1

What is 1/x

200

x^-2

What is 1/x²

300

x^-2y^-5

What is 1/x²y⁵

400

x²y^-4z^-1

What is x²/y⁴z

500

3²x²y^-1

What is 9x²/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