Exponent Properties

Product Rule

100

m^4 times m^2

m⁶

200

m^5 times m^3

m⁸

300

2 times r^3 times r^4

2r⁷

400

x^6 times x ^-4

x²

500

2x^2 times 4x^5

8x⁷

Power Rule

100

(x²)²

x⁴

200

(x²y²)³

x⁶y⁶

300

(3x³)²

9x⁶

400

(2x³r²)³

8x⁹r⁶

500

(3r²t³)³

27r⁶t⁹

Quotient Rule

100

x⁵ / x³

x²

200

x¹⁰y⁴ / x⁶y⁷

x⁴ / y³ 

300

35x⁴ / 5x⁹

7/x⁵

400

12x¹¹ / 40x⁹

3x² / 10

500

(3x⁵y)² / 18x⁶y⁵

x⁴ / 2y³

Distributive Property

100

3(y + 1)

3y+3

200

4(x³ + 5)

4x³ + 20

300

2x(x²y⁴)

2x³y⁴

400

3x(2x²+5x+4)

6x³+15x²+12x

500

4x3(2x2 + 4x - 10)

8x⁵ + 16x⁴ - 40x³

Zero and Negative Exponent Rules

100

x⁰

1

200

(3x²y¹⁰)⁰

1

300

(2x⁵y⁰)³

8x¹⁵

400

x^-5y²

y² / x⁵

500

11x^-2y^-6 / 3a^-5b^-4

11a⁵b⁴ / 3x²y⁶