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Homework Sheet – Indices and Standard Form
1.
Work out:
(a) 7 squared
2.
5.
(c) 142
(d)
(c) 5x = 125
(d) 7x = 1
(b) x3 = -8
5
1
 4
2
2
(a) 27 x 22
(b) 35 x 3-2
(c) 4
(e) 75 ÷ 73
(f) 2-3 ÷ 2
(g) 10-3 ÷ 10-2
(h)
(c) (2a2b3)4
(d)
(d)
(23)4
3 4  3 2
35
Simplify fully:
(b) y10 ÷ y6
10c 8
2c 5
Copy and complete the following table. The first row has been completed for you.
Ordinary
Number
3500
1470000
7.
49
Simplify the following. Leave your answers in index form.
(a) x5 × x7
6.
(b) 53
(d) Cube root of 64
Solve the following equations:
(a) x2 = 9
4.
(c) Negative square root of 16
Work out:
(a) (-5)2
3.
(b) 3 cubed
20.2
0.0376
0.00404
Standard
Index Form
3.5 x 103
7.
Copy and complete the following table. The first row has been completed for you.
Standard
Index Form
3.5 x 103
Ordinary
Number
3500
2.7 x 104
1.06 x 107
1.7 x 10-3
2 x 10-5
6.9 x 10-1
8.
Write the following numbers in ascending order:
3.5 x 10-3
9.
P = 1.56 x 103
2.7 x 10
1.3 x 102
Q = 7.8 x 106
Work out:
(a) P + Q
(b) P – Q
(c) P x Q
(d) P ÷ Q