Maths Quiz - Level 5-6 Numbers - Powers (Answers)
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!
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You can find more about this topic by visiting BBC Bitesize - Powers
24 (two to the power four) = 2 x 2 x 2 x 2
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The power of ten is the same as the number of zeroes. 100,000,000 has 8 noughts
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9 x 9 x 9 x 9
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16 = 24; 8 = 23. To multiply powers of the same number you add the indices
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83 = (2 x 2 x 2)3 = (23)3. To raise a power to a power, multiply the indices
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A negative power is 1 divided by the positive power
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3 x 3 x 2 x 2 = (3 x 2) x (3 x 2)
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You can't add the indices to multiply unless both numbers are powers of the same base
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To divide powers of the same base you subtract the indices; 5(4 - 2) = 52
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It's not always obvious which power number is the largest. The best way to check is to use a calculator!
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