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

Level 5-6 Numbers - Powers

Powers, indices, exponents – three words that might sound tricky, but they're essential for understanding KS3 Maths. So, what do they mean? All three terms refer to those little numbers placed above and to the right of ordinary numbers. These tiny numbers, often called powers, tell you to multiply the large number by itself as many times as the power indicates.

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Squares and cubes are the powers you'll encounter most often. They're a quick way to write lots of information. For instance, 42 is easier than writing 4 x 4, and it means the same thing.

Raising a number to a power is a POWERFUL operation – that's why I comes before DM in BIDMAS. Test your powers in maths with this quiz and strengthen your skills!

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 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)
3.
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
4.
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
5.
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
6.
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
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.
Which of these is not the same as 92 x 81?
94
38
89
6,561
9 x 9 x 9 x 9
9.
What is 54 ÷ 52?
5
25
125
625
To divide powers of the same base you subtract the indices; 5(4 - 2) = 52
10.
What is the value of 24?
8
16
32
64
24 (two to the power four) = 2 x 2 x 2 x 2
You can find more about this topic by visiting BBC Bitesize - Powers

Author:  Frank Evans
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