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Level 5-6 Numbers - Powers
What is 16 x 8 as a power of 2?

Level 5-6 Numbers - Powers

Exponents show repeated multiplication. Learn to read, write, and calculate with powers, including squares, cubes, and powers of ten.

Fascinating Fact:

Sound levels use powers of 10 to measure loudness, every 10 dB increase means sound intensity is 10 times stronger.

In KS3 Maths, powers help you handle big and small numbers efficiently. You will work with index notation, squares and cubes, and powers of ten to model real situations and solve problems.

Key Terms

  • Base: The number being multiplied by itself, such as the 3 in 34.
  • Exponent (power): The small number that tells how many times to multiply the base, like the 4 in 34.
  • Index notation: A compact way to write repeated multiplication, for example 106 instead of 1,000,000.

Frequently Asked Questions (Click to see answers)

What does 10 to the power of 3 mean in KS3 Maths?

103 means 10 × 10 × 10, which equals 1,000. The base is 10 and the exponent 3 shows three factors of 10.

How do I multiply numbers with the same base using indices?

Keep the base and add the exponents. For example, 32 × 35 = 37.

What is the difference between square and cube in maths?

Squaring means power of 2, like 72 = 49. Cubing means power of 3, like 43 = 64.

Try These Related Quizzes

1 .
What is one hundred million as a power of 10?
105
106
107
108
The power of ten is the same as the number of zeroes. 100,000,000 has 8 noughts
2 .
What is 83 as a single power of 2?
26
27
28
29
83 = (2 x 2 x 2)3 = (23)3. To raise a power to a power, multiply the indices
3 .
What is 32 x 22 as a single power number?
64
62
54
none of these
3 x 3 x 2 x 2 = (3 x 2) x (3 x 2)
4 .
What is 16 x 8 as a power of 2?
25
26
27
28
16 = 24; 8 = 23. To multiply powers of the same number you add the indices
5 .
What is the value of 24?
8
16
32
64
24 (two to the power four) = 2 x 2 x 2 x 2
6 .
What is 54 ÷ 52?
5
25
125
625
To divide powers of the same base you subtract the indices; 5(4 - 2) = 52
7 .
Which of these gives the biggest number?
28
82
36
63
It's not always obvious which power number is the largest. The best way to check is to use a calculator!
8 .
What is 43 x 34 as a single power number?
127
712
77
none of these
You can't add the indices to multiply unless both numbers are powers of the same base
9 .
What is the value of 2-3?
1/3
1/6
1/8
1/9
A negative power is 1 divided by the positive power
10 .
Which of these is not the same as 92 x 81?
94
38
89
6,561
9 x 9 x 9 x 9
You can find more about this topic by visiting BBC Bitesize - Powers

Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)
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