Properties of Exponents

Multiplication

100

x^7*x^2

x^9

200

y^4*y^-6*y^8

y^6

300

2m^2*3m^3

6m^5

400

4n^6*5n^2

20n^8

500

2x^3y^-2*3x^-5y^-4

6/(x^2y^6)

Raising to a Power

100

(3^5)^4

3^20

200

(2x)^3

8x^3

300

(2x^5)^3

8x^15

400

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

81x^12y^6

500

(3x^-5y^7z^-2)^4

(81y^28)/(x^20z^8)

Fractions

100

t^-5

1/t^5

200

3x^-5

3/x^5

300

(6m^7)/(15m^3)

(2m^4)/5

400

(20x^-3y^7)/(24x^5y^-2)

(5y^9)/(6x^8)

500

((14x^-2y^-4)/(35x^-5y^-3))^-4

(625y^4)/(16x^12)

Combinations

100

6m^0n^3*5m^2n^7

30m^2n^10

200

(15x^12y^9z^-7*20x^-3y^9z^4)^0

1

300

(4m^4n^3p^3)/(3m^2n^2p^4)

(4m^2n)/p

400

(3x^3y^-1z^-1)/(6x^-4y^0z^0)

x^7/(2yz)

500

(2x^4y^-4z^-3)/(3x^2y^-3z^4)

(2x^2)/(3yz^7)

Grab Bag

100

(3x^5)(6x^4)

18x^9

200

(2x^2y^5)^3

8x^6y^15

300

For the term  8^7 8 is called the ____ and 7 is the ________.

base

exponent

400

Can you name at least 4 properties of exponents without looking at your notes.

Answers will vary.

500

(15x^-3y^7z^0)/(35x^-8y^-2z^-6)

3x^5y^9z^6