Product Rule of Powers
Quotient Rule of Powers
Negative Exponents
Properties of Exponents
Miscellaneous Power Rules
100

6* 63

64+3 

67

100

1010/ 103

1010-3

107

100

2-1 / 1

1/2

100

(21 x2)-4

2-4 x-8 / 1

1 / 24 x8

1 / 16 x8

100

30

1

200

4* 72 * 4* 78

45+3 * 72+8

48 * 710

200

17-18 / 177

17-18-7

17-25

1 / 1725


200

7-4 * 73

7-4+3

7-1 / 1

1/7

200

xy-4 * x3 y2

x2+3 y-4+2

x5 y-2

x5 / y2

200

(41 a3)2

42 a6

16 a6

300

(-6)* (-6)-3


(-6)5+(-3)

(-6)2

300

76 * 33 * 2/ 7* 32 * 2

76-4 * 33-2 * 22-1

72 * 3 * 2

300

7-2 / 74

7-2-4

7-6 / 1

1 / 76

300

4a3 b* 3a-4 b-3


12a3+(-4) b2+(-3)

12a-1 b-1

12 / ab

300

x-1 / 4x4

x-1-4 / 4

x-5 / 4

1 / 4x5

400

146 * 14-7 * 14*144


144+(-7)+5+4

146

400

4-6 / 4-2 / 4-8

4-6-(-2) / 4-8

4-4 / 4-8

4-4-(-8)

44

400

3 * (3-1)4

31 * 3-4

31+(-4)

3-3 / 1

1 / 33

400

2h3 j-3 k4 / 3jk

2h3 j-3-1 k4-1 / 3

2h3 j-4 k3 / 3

2h3 k3 / 3 j4

400

4x0 y-2 z3 / 4x

4y-2 z/ 4x

z3 /yx

500

177 * 8-9 * 33 * 82 * 34 *17-6

177+(-6) * 8-9+2 * 33+4

17 * 8-7 * 37

17 * 3/ 87

500

(3/4)-9 / (3/4)-13 / (3/4)7 / (3/4)3

(3/4)-9-(-13) * (3/4)7-3

(3/4)4 / (3/4)4

1

500

((2p-4)4 * 3p2)2

(2p-16 * 3p2)2

28 p-32 * 32 p4

232 p-28

232 / p28

500

4m4 n3 p3 / 3mn2 p4

4m4-2 n3-2 p3-4 / 3

4m2 n p-1 / 3

4m2 n / 3 p 

500

3 x10 y-1 z-1 / x3 y0 z0

3 x10-3 y-1 z-1 / 1

3 x7 / y z

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