©MathsWatch
Clip 131
Index Notation
Grade 4 questions
1)
2)
3)
Write as a power of 8
a) 84 × 83
b) 812 ÷ 87
Write as a power of 3
a) 32 × 39
b) 310 ÷ 33
Simplify
a) k5 × k2
b) x4 ÷ x2
11
k
c) 6
k
d) (k8)2
4)
Simplify
eg.
(2xy3)4 = 2xy3 × 2xy3 × 2xy3 × 2xy3 = 16x4y12
a) (2xy5)3
b) (2x2y2)3
c) (4xy4)2
d) (3xy2)4
5)
2x × 2y = 210
and
x
2 ÷ 2y = 22
Work out the value of x and the value of y.
6)
5x × 5y = 512
and
5x ÷ 5y = 56
Work out the value of x and the value of y.
7)
a = 2x , b = 2y
Express in terms of a and b
a) 2x + y
b) 22x
c) 23y
d) 2x + 2y
Page 131 A
©MathsWatch
Clip 131
Index Notation
Grade 4 answers
1)
2)
3)
Write as a power of 8
a) 84 × 83 87
b) 812 ÷ 87
85
Write as a power of 3
a) 32 × 39 311
b) 310 ÷ 33
37
Simplify
a) k5 × k2 k7
b) x4 ÷ x2 x2
11
k
c) 6 k5
k
d) (k8)2 k16
4)
Simplify
eg.
(2xy3)4 = 2xy3 × 2xy3 × 2xy3 × 2xy3 = 16x4y12
a) (2xy5)3
8x3y15
b) (2x2y2)3 8x6y6
c) (4xy4)2 16x2y8
d) (3xy2)4 81x4y8
5)
2x × 2y = 210
and
x
2 ÷ 2y = 22
Work out the value of x and the value of y.
6)
x = 6, y = 4
5x × 5y = 512
and
5x ÷ 5y = 56
Work out the value of x and the value of y. x = 9, y = 3
7)
a = 2x , b = 2y
Express in terms of a and b
a) 2x + y ab
b) 22x
a2
c) 23y b3
d) 2x + 2y ab2
Page 131 A