Laws of Exponents

Product Rule

100

x^2∙x^3

What is x^5

200

x ∙x^2

What is x^3

300

(ab)(ab)

What is a^2b^2

400

(2a^2)(-3a)

What is -6a^3

500

(-3b^2)(-b)

What is 3b^3

Quotient Rule

100

x/x

What is 1

200

x^4/x^2

What is x^2

300

x^3y/x^1y^2

What is x^2/y

400

6ab/3ab^2

What is 2/b

500

15a^3b^4/12a^3b^3

What is 5b/4

Power Rule

100

(a^2)^3

What is a^6

200

(ab^3)^5

What is a^5b^15

300

(2a)^3

What is 8a^3

400

(2a^3b^4)^4

What is 16a^12b^16

500

(7ab^2c^4)^2

What is 49a^2b^4c^8

Negative and Zero

100

x^-2

What is 1/x^2

200

(3x)^0

What is 1

300

x^-2*y^-1

What is 1/x^2y

400

2x^-2

What is 2/x^2

500

x^2y^-1

What is x^2/y

Mixed

100

(3a)^3

What is 27a^3

200

x^2/x^4

What is 1/(x^2)

300

(3x^3)(5x^2)

What is 15x^5

400

16x^5/4x^3

What is 4x^2

500

(3ab^3)/(9ab^3)

What is 1/3