Exponents (product, quotient, negative and zero)

Product Rule

100

4x³ * 5y² * x⁴ * y

20x⁷y³

200

-5a³ * b⁸ * a⁵

-5a⁸b⁸

300

5x⁴ * 4x³ * 3x

60x⁸

400

8a²b² * 3a⁶b⁶

24a⁸b¹⁶

500

-6abc * -4a³b²

24a⁴b³c

Quotient Rule

100

(a^4b^6)/(ab)

a³b⁵

200

(4x^3y^5)/(2x^3y^4)

2y

300

(-20m^8n^5)/(5m^2n^6p^3)

(4m^2)/(np^3)

400

(9a^8b^11c^8)/(18a^4c^10)

(1a^4b^11)/(2c^2)

500

(w^14x^18y^12z)/(w^10x^24yz)

(w^4y^11)/(x^6)

Negative Exponents

100

m^-3 * n⁷

n^7/(m^3)

200

f^8g^-5/f^2g^3

f^6/g^8

300

(3m^-5n^-6)/(9m^8n^0)

(1)/(3m^13n^6

400

(5^-3m^-1n^2)/(5^-2m^3n)

(1n)/(5m^4)

500

(-2x^5y^7)/(-6x^-2y^5)

(1x^7y^2)/3

Zero Exponents

100

x⁰

1

200

20ab⁰c

20ac

300

15q⁰

15

400

(-6a^5)/(-2a^5)

3

500

14x⁰y⁵z⁰

14y⁵

Mixture

100

(c^12d^-3)/(c^7d^0)

(c^5)/(d^3)

200

(10v^0w^6)/(2v^-3w^15

(5v^3)/(w^9)

300

b^-2 * b⁴ * b

b³

400

-2m³ * 3.5m^-3

-7

500

(4at^0)/(a^-3t)

(4a^4)/(t)