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Worksheets

Properties of Exponents with Variables

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

When you multiply variables, what do you do with the exponents?

a)

add them

b)

subtract them

c)

multiply them

d)

divide them

2.

Simplify.

a)

0

b)

x

c)

1

d)

x12

3.

When you divide variables, what do you do with the exponents?

a)

add them

b)

subtract them

c)

multiply them

d)

divide them

4.

Anything raised to the zero power is equal to ___.

a)

0

b)

1

c)

-1

d)

none of the above

5.

Simplify.

a)
b)
c)
d)
6.

Simplify.

a)

k7

b)

k3

c)

1/k10

d)

k10

7.

Simplify.

a)

w-3

b)

w3

c)

w2

d)

w-13

8.

Simplify x-7

a)

-7

b)

-7x

c)

1/x7

d)

-1/x7

9.

(53x2y4)0

a)

5xy

b)

1

c)

0

d)

5

10.

In order to simplify exponents, the bases have to be the same in order to combine variables using properties of exponents.

a)

True 

b)

False

11.

x6x2\frac{x^6}{x^2}  

a)

x4

b)

x12

c)

x3

d)

x8

12.

Simplify y0

a)

y

b)

0

c)

1

d)

1y

13.

m ⋅ m5 ⋅ m6

a)

m30

b)

m12

c)

12m

d)

mm11

14.

When you multiply variables what do you do with the exponents?

a)

add them

b)

subtract them

c)

multiply them

d)

divide them

15.

When you divide variables what do you do with the exponents?

a)

add them

b)

subtract them

c)

multiply them

d)

divide them

16.

Anything raised to the zero power is equal to?

a)

0

b)

1

c)

-1

d)

none of the above

17.

To change an exponent to positive you must?

a)

move it to either the denominator or numerator

b)

multiply by -1

18.

Write with positive exponents:

a)

-2

b)

2

c)

1/1

19.

(34x5y6z-7)0

a)

34x5y6 / z7

b)

34x5y6 / x-7

c)

0

d)

1

20.

When a power is raised to a power what do you do with the exponents?

a)

add them

b)

subtract them

c)

multiply them

d)

divide them