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Index Law Quiz (Laws 1-4)

Total questions: 22

Worksheet time: 11mins

Name
Class
Date
1.

What is the correct law for multiplication? am x an =

a)

am+n

b)

am + an

c)

amxn

d)

amn

2.

What is the correct law for division? am ÷ an =

a)

am-n

b)

am - an

c)

am÷n

d)

am/n

3.

What is the correct law for powers of powers? (am)n =

a)

am x an

b)

am x n

c)

am+n

d)

amen

4.

Simplify: 35 x 37

a)

335

b)

912

c)

935

d)

312

5.

Simplify: 28 ÷ 22

a)

26

b)

24

c)

210

d)

1

6.

Simplify: b17 x b5

a)

b22

b)

b85

c)

(b2)22

d)

b12

7.

Simplify: w24 ÷ w8

a)

w16

b)

w3

c)

w32

d)

w24/8

8.

Simplify: f0

a)

1

b)

f

c)

f1

d)

0

9.

Simplify: (3x2y3)0

a)

1

b)

0

c)

3

d)

3x2y3

10.

Simplify: 3x3 × 6x8

a)

18x11

b)

18x24

c)

9x11

d)

9x24

11.

Simplify: 42m12 ÷ 7m6

a)

6m6

b)

6m2

c)

35m6

d)

35m2

12.

Simplify: 4x2y × 9xy2

a)

36x3y3

b)

13x2y2

c)

36xy3

d)

13x3y3

13.

Simplify: (y7)2

a)

y14

b)

y49

c)

y5

d)

y9

14.

Simplify: (3h2)3

a)

27h6

b)

27h5

c)

9h6

d)

9h5

15.

Simplify: (2x2y)2 × (3xy3)0

a)

4x4y2

b)

12x4y2

c)

4x5y5

d)

12x5y5

16.

Simplify: 3x2 × (2x)3 × x6

a)

24x11

b)

24x9

c)

6x11

d)

6x9

17.

Simplify: (5a3)2

a)

10a5

b)

5a5

c)

25a6

d)

25a5

18.

Simplify: 7b4 ÷ b2

a)

7b1

b)

7b2

c)

7b6

d)

7b8

19.

Simplify: (2c5 × 3c2)

a)

6c7

b)

5c10

c)

6c10

d)

5c7

20.

Simplify: (x5y3)2

a)

x5y3

b)

x2y2

c)

x10y6

d)

x7y5

21.

Simplify: 5a4 ÷ a2

a)

5a0

b)

5a1

c)

5a6

d)

5a2

22.

What is the correct law for zero exponent? a0 =

a)

a1

b)

a

c)

1

d)

0