Laws of Exponents

Multiplying

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

Dividing

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

Exponent of Exponent

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

Shared Exponents

100

(xy)^5

x^5 * y^5

200

(x/y)^3

(x^3)/(y^3)

300

(3/5)^2

3^2 / 5^2 = 9/25

400

(2m)^4

2^4 * m^4 = 16m^4

500

6^4 * 2^4

12^4 = 20,736

Mixed Bag

100

What is the square root of 9?

+/- 3

200

What is the cube root of 27?

3

300

What is the square root of 9/16

3/4

400

What is the cube root of 0.064

0.8

500

What is the square root of -25?

Does not exist or undefined