Properties of Exponents

Multiplication

100

(2xy)^2 

4x^2y^2

200

(3x^3y)^3

27x^9y^3

300

(x^11y^10)/(x^-3y^-1)

x^14y^11

400

y^-8(x^2y^3)^5

x^10y^7

500

2x^3y^-3*2x^-1y^3

4x^2

Division

100

4^-2

1/16

200

(2/3)^-2

9/4

300

(xy^9)/(3y^-2)*(-7y)/(21x^5)

(-1y^12)/(9x^4)

400

((x^4y^-2)/(x^3y^6))^3

x^3/y^24

500

((x^12)^3*x^4*x^15*x^6)^0

1

Zero

100

x^-6*x^5*x^3

x^2

200

(2/9)^3

8/729

300

(s^3/t^-4)^2

s^6t^8

400

(-2x^2y)(-2y^2z)(x^-2)

4y^3z

500

(2^2*4^-1*2^0)^-2

1

Negatives

100

-6v^3*11vu^2

-66v^4u^2

200

(w^3x^-2)(w^6x^-1)

w^9/x^3

300

(7xy^2z^5)(y^-4z^-1)

(7z^4)/y^2

400

((2^-1)/(4^-2))^2

64

500

(5s^-2t^4)^-3

(1s^6)/(125t^12)

Expanded

100

(ab^2c^3)^4

a^4b^8c^12

200

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

(x^4y^3)/(4)

300

(x^5y^2)^10

x^50y^20

400

(-7m^2n)^3(m^4n)^2

-343m^14n^5

500

(2a^3b^-4)/(3a^5b^-2)

2/(3a^2b^2)