Laws of Exponents

Product Law

100

x^2∙x^3

What is 

x^5

200

x ∙x^2

What is 

x^3

300

5^3∙5^8

What is 

5^11

400

2a^2∙-3a

What is 

-6a^3

500

-3ab^2∙-1a^-44b

What is 

3a^-43b^3

Quotient Law

100

x/x

What is 

1

200

x^4/x^2

What is 

x^2

300

9^4/9^2

What is 

9^2

400

(6ab)/(3ab^2)

What is 

2/b or 2b^-1

500

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

What is 

(5b)/4 or 1.25b

Power of a Power

100

(a^2)^3

What is 

a^6

200

(ab^3)^5

What is 

a^5b^15

300

(2^4)^3

What is 

2^12

400

(2a^3b^4)^4

What is 

16a^12b^16

500

(7ab^-2c^4)^2

What is 

(49a^2b^-4c^8)

Negative and Zero Exponents

100

x^-1

What is 

1/x

200

x^-2

What is 

1/x^2

300

1/x^-3

What is

x^3

400

2x^-2

What is 

2/x^2

500

x^2y^-1

What is 

x^2/y

All Laws

100

(3a)^3

What is 

27a^3

200

x^2/x^4

What is 

1/(x^2) or 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