Exponent Rules Study Guide

Multiplying/Dividing

100

(-2u^2)(6u^6)

-12u^8

200

(n^3p)^4

n^12p^4

300

((3xy^4)/(5z^2))^2

(9x^2y^8)/(25z^4)

400

(12n^5)/(36n)

n^4/3

500

(3ab^2c)^2(-2a^2b^4)^2(a^4c^2)^3(a^2b^4c^5)^2(2a^3b^2c^4)^3

288a^31b^26c^30

Zero/Negatives

100

((27x^12y^7g^-2)/(12x^3y^5g^-3))^0

1

200

(f^-5g^4)/h^-2

(g^4h^2)/f^5

300

(p^4t^-3)/r^-2

(p^4r^2)/t^3

400

(-12c^3d^0f^-2)/(6c^5d^-3f^4)

(-2d^3)/(c^2f^6)

500

(16x^2y^-1)^0/(4x^0y^-4z)^-2

(16z^2)/y^8

Radicals

100

3sqrt4+6sqrt4

9sqrt4

200

sqrt24

2sqrt6

300

10sqrt5*5sqrt11

50sqrt55

400

Simplify:

4^(3/2)

 

8

500

8sqrt7*2/3sqrt7

31 1/3 or 94/3

Radicals Continued

100

sqrt400

20

200

sqrt2*sqrt10

2sqrt5

300

2sqrt3*3sqrt15

18sqrt5

400

sqrt98

7sqrt2

500

4sqrt3(5sqrt8+2sqrt3)

40sqrt6+24

Aces Wild

100

h^3/h^-6

h^9

200

(c^3)^2(-3c^5)^2

9c^16

300

(10xy^5z^3)(3x^4y^6z^3)

30x^5y^11z^6

400

((4^0c^2d^3f)/(2c^-4d^-5))^-3

8/(c^18d^24f^3

500

((-3x^-6y^-1z^-2)/(6x^-2yz^-5))^-2

(4x^8y^4)/z^6