Laws of Exponents

Product of Powers

100

a²× a³

a⁵

200

2⁴ × 2²

2⁶ or 64

300

y⁵ × y⁷ 

y¹²

400

(3a²) (a⁴)

3a⁶

500

2m³n × 5m⁵n⁴

10m⁸n⁵

Power of a Power

100

(x³)²

x⁶

200

(2y²)⁴

16y⁶

300

(2³)³

2⁹ or 512

400

(6x²y³)²

36x⁴y⁶

500

((a²)³)²

a¹²

Quotient of Powers

100

x⁵/x²

x³

200

12x⁴/ 3x³

4x

300

15y⁹/9y³

5y⁶/3

400

2x⁶y⁴/ 8x²y

x⁴y³/4

500

15a¹⁰/9a⁷

5a³/3

Mixed Challenge

100

(x² × y³)² 

x⁴y⁶

200

(y³)²/ y⁴

y²

300

(2⁴ × 2³) ÷ 2²

2⁵ or 32

400

(a²b³)² / a³b

ab⁵

500

(x²y³)³/x⁴y²

x²y⁷

Random

100

Jump on one leg 20 seconds while you clap

If you cant then you get no grade

200

(m³n²)²/ m⁴n

mn³

300

Simplify (3a²)³ (a⁵)

27a¹¹

400

BONUS QUESTION

Who is the best Math Teacher?

Ms. Perry!! and Mr. Parra!!!!

500

Pick one student in the class to solve this problem for you. If they are not correct, you don't get a grade

5a²b²/10(a⁶b⁴)².