Exponent Rules

Team 1

100

(-x^3) * (-2x^6)

2x^9

200

(5xy^3)^3

125x^3y^9

300

(7s^5p^3)(-3s^6p^5)^2

63s^17p^13

400

(12x^10)/(36x^3y^-2)

(1x^7y^2)/(3)

500

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

(x^6)/(4y^10)

Team 2

100

-x^6 * 4x^2

-4x^8

200

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

16x^8y^12

300

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

32r^9x^6

400

(-25x^-8)/(15x^3y^-5)

(-5y^5)/(3x^11)

500

(3x^5y^-6)^-3

(y^18)/(27x^15)

Team 3

100

(-x^4) * (-5x^4)

5x^8

200

(-3xy^5)^3

-27x^3y^15

300

(-xr^5)^3(-4x^3r^2)^2

-16r^19x^9

400

(20x^2)/(30x^-3y^-2)

(2x^5y^2)/(3)

500

(4xy^-3)^-3

(y^6)/(64x^3)

Team 4

100

(12x^6) * (-x^7)

_-12x^13

200

(-6x^5y^3)^2

36x^10y^6

300

(-5x^3r^5)^2(2x^3r^2)

50x^9r^12

 

400

(6x^8y^-5)/(8x^-2)

(3x^10)/(4y^5)

500

(5x^-2y^6)^-2

(x^4)/(25y^12)

Team 5

100

(-3x^3) * (-x^7)

3x^10

200

(-4x^2y^5)^2

16x^4y^10

300

(-3x^3r^5)^2(4x^3r^2)

36x^9r^12

400

(6x^8(y^-5))/(8x^-2)

What is 

x^(n/m)

500

(5x^-2y^6)^-2

What is 

4^(1/3)x^(7/3)y^(2/3)

Team 6

100

(-2x^10) * (-5x^7)

(10x^17)

200

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

-27x^18y^12

300

(-x^3r^5)^2(4x^3r^2)^2

16x^12r^14

400

(6x^8(y^-5))/(8x^-2)

(6x^8(y^-5))/(8x^-2)

500

Simplify

(5x^-2y^6)^-2

What is

(5x^-2y^6)^-2