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Year 9 Mathematics - Indices

Total questions: 15

Worksheet time: 34mins

Name
Class
Date
1.
According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c6 ⋅ c4
a)
add
b)
subtract
c)
multiply
d)
divide
2.
What is the base in 28 ?
a)
8
b)
2
3.
a)
x4
b)
x8
c)
x12
d)
x20
4.
Which number is the EXPONENT?
42 = 16
a)
4
b)
2
c)
16
5.
Billy was asked to solve 35∙34. He got 920. What error did he make?
a)
When he multiplies exponents, he is supposed to add the base and the exponent
b)
When he multiplies exponents, he is supposed to multiply the base and keep the exponents
c)
When he multiplies exponents, he is supposed to keep the base and add the exponents if the base is the same
d)
None of the above
6.
According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h8 / h3
a)
add
b)
subtract
c)
multiply
d)
divide
7.
Write 2 x 2 x 2 x 2 in index form
a)
23
b)
25
c)
16
d)
24
8.

Simplify: χ3 ÷ χ2

a)

χ

b)

χ5

c)

χ6

d)

χ-1

e)

1/χ

9.
Write (47 x 43) ∕  44 as a single power
a)
414
b)
41
c)
48
d)
46
10.
Calculate 3a8 x 4a2
a)
12a10
b)
12a16
c)
7a10
d)
7a16
11.
2m5n3 ÷ 3m2n
a)
2/3 m5n2
b)
2/3 m3n2
c)
6 m3n2
d)
2/3 m2n3
12.
Simplify 
3s4 x 2t2 x s3
a)
5st14
b)
5s7t2
c)
12 s7 t 2
d)
6 s7 t2
13.
Evaluate the expression using the quotient rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
14.
Simplify (34x5y6z-7)0
a)
34x5y6 / z7
b)
34x5y6 / x-7
c)
0
d)
1
15.
Simplify: (3x)2 × (2x3y)2 ÷ 6y3
a)
6x8y-1
b)
6x8y
c)
3x7y
d)
3x7y-1