Exponent Rules Jeopardy

Product Rule

100

x² ⋅ x⁴ ⋅ x³

x⁹

200

9x⁶y² ⋅ 5x²y³ 

45x⁸y⁵

300

2x³y^-3⋅ 2x^-1y³

4x²

400

(-2x³y⁴z)(3x^-1y^-2z)

-6x²y²z²

500

1/2 a^-20b¹² ⋅ 1/2 a²³b^-10

1/4 a³b²

Quotient Rule

100

x⁷y⁵/x⁴y

x³y⁴

200

3³/3²

3

300

10x¹⁴/2x⁷

5x⁷

400

18w¹⁵v¹⁰/6w³v²

3w¹²v⁸

500

4x^-5y⁶/12x^-7y^-2

1/3 x²y⁸

Power to a Power

100

(a⁷)⁴

a²⁸

200

(2x⁶)⁴

16x²⁴

300

(-3x²y³z⁴)³

-27x⁶y⁹z¹²

400

(a^-3b^-5c^-7)^-4

a¹²b²⁰c²⁸

500

(x²y⁴z⁶)^1/2

xy²z³

Negative and Zero

100

298⁰

1

200

(3abcd)⁰

1

300

3(y)⁰

3

400

a^-2

1/a²

500

1/x^-3

x³

Mixed (Double Points!)

100

4a⁴b ⋅ (3a⁵b⁶)² 

36a¹⁴b¹³

200

(4m⁶n⁴)³ / 4m³n²

16m¹⁵n¹⁰

300

-40c⁹d⁴/5c³d⁷

-8c⁶/d³

400

4r^-7s^-1 ⋅ 7r^-2s⁵t⁰ 

28s⁴/r⁵

500

(2x^-3y^-2)⁵ / (4x^-1y^-8)²

2y⁶/x¹³