MIXING MULTIPLICATION, DIVISION AND INDICES
TASK 1
Multiplying
Simplify each of these expressions.
a
x3 × x4
b
k × k7
c
y2 × y9 × y7
d
7x2 × x5
e
9h × 10h4
f
2a3b4 × 4ab5 × a6
TASK 2
Dividing
Simplify each of these expressions.
a
x8 ÷ x4
b
k5 ÷ k
c
y10 ÷ y5 ÷ y2
d
7x 6
x3
e
18h5
6h 2
f
10m12 n5
8m 4 n 2
TASK 3
Removing brackets
Remove the grouping symbols (brackets or parentheses) from each of these expressions.
a
(2y)3
d
m
 
n
b
(xy)8
e
3
 
k
2
TASK 4
c
(10xy)5
f
 5m 


 2n 
4
3
Zero power
Evaluate these expressions.
a
5x0
b
(5x)0
c
5 + x0
d
y0 – 5k0
e
7 ÷ 70
f
18
60
© 2020 Cambridge University Press
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Chapter 14 Further solving of equations & inequalities
TASK 5
Mixing them up
Simplify each of these expressions, removing grouping symbols where necessary.
a
(4y)2 × y4
b
(xy)9 ÷ x5
c
5k0 × k6 ÷ k4
d
6n8 ÷ 12n2 × 4n12
e
m10
 m2
m
f
4 y  3 y8
6 y5
g
2 p 2  8 p3  3 p
p6
h
4
t t

 
5 2
i
d7 3

2 d4
j
w8
18
k
5x
5
l
75 y  7 2 y
7 y 1
© 2020 Cambridge University Press
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 w
 
6
2
Chapter 14 Further solving of equations & inequalities