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indices

Total questions: 23

Worksheet time: 1hrs 15mins

Name
Class
Date
1.
Write 2 x 2 x 2 x 2 in index form
a)
23
b)
25
c)
16
d)
24
2.
Write 62 x 63 as a single power
a)
7776
b)
66
c)
65
d)
365
3.
Write 95 ÷ 93 as a single power
a)
92
b)
98
c)
915
4.
(3x2y3)2
a)
9x4y6
b)
3x4y5
c)
6x4y6
d)
9xy
5.
Simplify.
a)
A
b)
B
c)
C
d)
D
6.
8
a)
W
b)
O
c)
R
d)
K
7.
2
a)
C
b)
A
c)
V
d)
E
8.
Simplify -90 
a)
1
b)
-1
c)
-9
d)
9
9.
Simplify the following expression: 
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
10.
What is the value of (-2)3?
a)
-8
b)
-6
c)
6
d)
8
11.
Evaluate the expression using the quotient rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
12.
(y9)-2
a)
y18
b)
y11
c)
1/y18
d)
y9/2
13.
a)
a
b)
b
c)
c
d)
d
14.
Simplify (34x5y6z-7)0
a)
34x5y6 / z7
b)
34x5y6 / x-7
c)
0
d)
1
15.
Simplify 5-2
a)
-10
b)
1/25
c)
1/(5)2
d)
-1/10
16.
Which is greater,  26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
17.
Simplify -5p0t-5 / 2-1m2
a)
-5p/2t5m2
b)
10m2/t5
c)
(-5)(2)/t5m2
d)
-10/t5m2
18.

 −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}}  

19.

(-4)7 ÷ (-43) is equivalent to

a)

(-4)4

b)

44

c)

-44

d)

4-4

20.

(-26)5 is equivalent to

a)

-2

b)

(-2)11

c)

230

d)

-230

21.
What is the correct law for multiplication? am x an =
a)
am+n
b)
am + an
c)
amxn
d)
amn
22.
What is the correct law for division? am ÷ an =
a)
am-n
b)
am - an
c)
am÷n
d)
am/n
23.
Write 62 x 63 as a single power
a)
7776
b)
66
c)
65
d)
365