Laws of Exponents

Combining Like Terms

100

3x + 2x + 9

5x + 9

200

4 + 2y + 4x + 3y + 2x + 1

6x + 5y + 5

300

7x + 3xy - 4yx + 7x - 14x 

- xy

400

5x² - 2x - 13x² - 4x

-8x² - 6x

500

-2x (3 - 5x) + 4x

10x² -2x 

Product Rule

100

5a(a³)(a²)

5a⁶

200

2x^2 . 3x⁹

6x¹¹

300

5xyxxy³

5x³y⁴

400

2x^2 . 7yyy

14x²y³

500

2x⁴y²x^-4y^-1y^-1

2

Power Rule

100

(y²x⁵)²

y⁴x¹⁰

200

(-3x³)²

9x⁶

300

(x²y^-1)²

x⁴/ y²

400

(2b⁴)^-1

1/ 2b⁴

500

(-2a²)^-3

1 / -8a⁶

Quotient Rule

100

m⁴ / 2m⁴

1 / 2

200

3r² / 12r³

1 / 4r

300

-6m²p⁸ / 2mp⁶

-3mp²

400

9m^-4 / 3m³

3 / m⁷

500

8xy^-1 / 16x²y

1 / 2xy²

Challenge

100

(a³b²)⁰ / b^-1

b

200

3xx²y⁴x⁵ / 5xy⁴

3x⁷ / 5

300

6x⁴y^-4z^-3 / 3x²y^-3z⁴

2x² / yz⁷

400

3x³y^-1z^-1 / x^-4y⁰z⁰

3x⁷ / yz

500

24x⁰y^-2z³x⁴ / (-2x)³

-3z³x / y²