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Laws of Exponents (Product Rule & Quotient Rule)

Total questions: 10

Worksheet time: 33mins

Name
Class
Date
1.

Simplify the following expression:


x5 ⋅ x4

a)

x9

b)

x20

c)

2x9

d)

9x

2.

Simplify the following expression:


r6 ⋅ r2 ⋅ r3

a)

r623

b)

r11

c)

11r

d)

r36

3.

Simplify the following expression:


c4 ⋅ c3

a)

c12

b)

c43

c)

c7

d)

c1

4.

Simplify the following expression:


(x2)(x5)

a)

x7

b)

x10

c)

x25

d)

x3

5.

Simplify the following expression:


3x4 ⋅ 6x6

a)

18x10

b)

9x10

c)

18x24

d)

9x24

6.

Simplify the following expression:


x10 ÷ x2

a)

x5

b)

x12

c)

x8

d)

x20

7.

Simplify the following expression:


a4 ÷ a12

a)

a3

b)

a16

c)

1/a3

d)

1/a8

8.

Simplify the expression:

a)

c7

b)

1/c7

c)

1/c17

d)

c60

9.
Evaluate the expression using the quotient of powers rule.
a)
a8b13
b)
a2b7
c)
a15b30
d)
a8b7
10.

Write this expression using positive exponent:

x-7

a)

-7

b)

-7x

c)

1/x7

d)

-1/x7