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Worksheets

Indices Or Powers

Total questions: 30

Worksheet time: 30mins

Name
Class
Date
1.
a)
y4
b)
y5
c)
y6
d)
6y
2.
a)
t24
b)
t12
c)
t18
d)
t-12
3.
a)
1
b)
1/x
c)
x
d)
x-11
4.
What is the area of a rectangle if its dimensions are listed below:
length = 10x7
width = 7x5
Hint: Area = (length)(width)
a)
70x12
b)
70x35
c)
17x12
d)
17x35
5.
Which is greater,  26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
6.
a)
3y6
b)
6y3
c)
4y6
d)
3y4
7.
Simplify -90 
a)
1
b)
-1
c)
-9
d)
9
8.
What is the missing index?(26)x = 218
a)
12
b)
3
c)
10
d)
4
9.
What is the correct law for multiplication? am x an =
a)
am+n
b)
am + an
c)
amxn
d)
amn
10.
What is the correct law for powers of powers? (am)n =
a)
amxn
b)
am+n
c)
am x an
d)
amen
11.

 −73-7^3   is equivalent to

a)

 −(−73)-\left(-7^3\right) 

b)

 −(73)-\left(7^3\right)  

c)

 −(7−12)6-\left(7^{-\frac{1}{2}}\right)^6  

d)

 ((−7)2×73)12\left(\left(-7\right)^2\times7^3\right)^{\frac{1}{2}}  

12.

What is the number in a power that tells how many times the base is used as a factor?

a)

Expression

b)

Index

c)

Factor

d)

Term

13.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
14.

How do you use indices to represent numbers?

a)

repeated multiplication

b)

repeated addition

c)

repeated subtraction

d)

repeated division

15.
Which one shows the numbers in order from biggest to smallest?
a)
32,23,61
b)
61,23,32
c)
22,61,32
16.

According to indices rules, when we multiply powers we _______ the indices.

a)

add

b)

subtract

c)

multiply

d)

divide

17.

According to indices rules, when we divide powers we _______ the indices.

a)

add

b)

subtract

c)

multiply

d)

divide

18.

According to indices rules, when we raise a power to a power we _______ the indices.

a)

add

b)

subtract

c)

multiply

d)

divide

19.

What is the property of zero as an index mean?

a)

the value of any nonzero number raised to the power of 0 is 0.

b)

the value of any nonzero number raised to the power of 0 is 2.

c)

the value of any nonzero number raised to the power of 0 is -1.

d)

the value of any nonzero number raised to the power of 0 is 1.

20.
105 x  107
a)
102
b)
103
c)
1012
d)
1013
21.

Simplify

a)

c7c^7

b)

1c7\frac{1}{c^7}

c)

1c17\frac{1}{c^{17}}

d)

c60c^{60}

22.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
23.
Simplify: (3x2)3
a)
27x6
b)
9x6
c)
3x6
d)
9x5
24.

Simplify (evaluate):

3-3

a)

-27

b)

-9

c)

-1/9

d)

1/27

25.

Rewrite each expression with a negative exponent.

1/(-5)7

a)

(-5)7

b)

1/(-5)-7

c)

(-5)-7

d)

1/78,125

26.

Which of the following is the correct way to simplify this expression?
 (ambn)p\left(\frac{a^m}{b^n}\right)^p  

a)

 am⋅pbn⋅p\frac{a^{m\cdot p}}{b^{n\cdot p}}  

b)

 am+apbn+bp\frac{a^m+a^p}{b^n+b^p}  

c)

 am⋅p bn⋅pa^{m\cdot p}\ b^{n\cdot p}  

27.
Write 62 x 63 as a single power
a)
7776
b)
66
c)
65
d)
365
28.
Write 95 ÷ 93 as a single power
a)
92
b)
98
c)
915
29.
(3x2y3)2
a)
9x4y6
b)
3x4y5
c)
6x4y6
d)
9xy
30.
Evaluate the expression using the quotient rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7

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