Laws of Exponents - 8th Grade

Multiplying

100

x^2∙x^3

x^5

200

x ∙x^2

x^3

300

(ab)(ab)

a^2b^2

400

(2a^2)(-3a)

-6a^3

500

(-3b^2)(-b)

3b^3

Dividing

100

x/x

1

200

x^4/x^2

x^2

300

(x^3y)/(x^1y^2)

x^2/y

400

(6ab)/(3ab^2)

2/b

500

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

(5b)/4

Exponent of Exponent

100

(a^2)^3

a^6

200

(ab^3)^5

a^5b^15

300

(2a)^3

8a^3

400

(2a^3b^4)^4

16a^12b^16

500

(7ab^2c^4)^2

49a^2b^4c^8

Negative Exponents

100

x^-1

1/x

200

x^-2

1/x^2

300

x^-2y^-1

1/(x^2y)

400

2x^-2

2/x^2

500

x^2y^-1

x^2/y