Exponents

Multiplication

100

x² * x⁴

x⁶

200

x⁵y³ * x¹⁰y

x¹⁵y⁴

300

12x³ * 8x⁴

96x⁷

400

4x⁴y²z⁸ * 3x⁴ * 2y³z

24x⁸y⁵z⁹

500

13a³xy² * 3z⁴a * x¹⁰ * 7yza

273a⁵x¹¹y³z⁵

Division

100

y⁵ / y²

y³

200

x³y⁸ / xy

x²y⁷

300

12x⁹ / 4x⁸

3x

400

x¹³y¹⁰z¹⁸ / xy¹⁰z¹⁷

x¹²z

500

25a⁸b³xy¹¹ / 20a⁴b²xy

5a⁴by¹⁰ / 4

Power Rule

100

(x²)⁴

x⁸

200

(x³y)⁵

x¹⁵y⁵

300

(3x³)³

27x⁹

400

(x³yz¹⁵)² * (ab¹¹c³)⁰

x⁶y²z³⁰

500

(4x²y³)² * xyz¹⁰ / x³z * (2y)⁴

x²y³z⁹

Negative Exponents

100

x^-2

1/x²

200

5x^-4

5/x⁴

300

(2y)^-3

1/8y³

400

3x²y³ * (x³y)^-5

3/x¹³y²

500

(x^-2y³z^-5)^-2 * x²z

x⁶z¹¹ / y⁶

Everything

100

2x * 3y

6xy

200

(ab)² * (xy)^-3

a²b² / x³y³

300

2x³y * (3x²y³)² / 6x³y²

3x⁴y⁵

400

(2ab²)³ * (3a³b)^-2 / 5ab^-4

8b⁸ / 45a⁴

500

-2²

-4