Index Law 1 & 2
Index Law 3 & 4
Index Law 4 & 5
Zero and negative law
Combinations
100

y2 x y3

y5

100

(a2)3

a6

100

(p / q)3

p3 / q3

100

30

1

100

a3b4 / a3b4

1

200

x6 / x2

x4

200

(ab)3

a3b3

200

(5 / p3)2

25 / p6

200

p-1

1 / p

200

(a / ab)-2

b2 

300

(a6 x a3) / a2

a7

300

(2b)2

4b2

300

(2m / n)5

32m5 / n5

or

25m5 / n5

300

(3ab)0 + 3(ab)0

4

300

(-3a2b0 / 5c5d3)2

9a4 / 25c10d6
400

b / b3

1 / b2

400

(-3w3y4)2

9w6y8

400

(-3 / f2g3)2

9 / f4g6

400

p-3 / q-2

q2 / p3

400

Express answer in positive indices: (5a2b-3)2 / (25a-1b)

x5 / b7

500

b6 x b2 x c3 x c-2

b8c

500

(a2b2)3 x (a4b2)1

a10b8

500

(4y2z / 2y5z3)2

4 / (y6z4)

500

(3x-2 y0)3 / 9x-5

3 / x

500

Express answer with positive indices: [ (2a-3b2) x (4a2b-1) ] / (8a-1b3)

2 / a3

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