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.

Discover the Fun of Learning with Quizzes!1.

What is 8^{3} as a single power of 2?

2^{6}

2^{7}

2^{8}

2^{9}

2.

What is one hundred million as a power of 10?

10^{5}

10^{6}

10^{7}

10^{8}

The power of ten is the same as the number of zeroes. 100,000,000 has 8 noughts

3.

What is 5^{4} ÷ 5^{2}?

5

25

125

625

To divide powers of the same base you subtract the indices; 5^{(4 - 2)} = 5^{2}

4.

Which of these gives the biggest number?

2^{8}

8^{2}

3^{6}

6^{3}

It's not always obvious which power number is the largest. The best way to check is to use a calculator!

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 3^{2} x 2^{2} as a single power number?

6^{4}

6^{2}

5^{4}

none of these

3 x 3 x 2 x 2 = (3 x 2) x (3 x 2)

7.

What is the value of 2^{4}?

8

16

32

64

2^{4} (two to the power four) = 2 x 2 x 2 x 2

8.

Which of these is not the same as 9^{2} x 81?

9^{4}

3^{8}

8^{9}

6,561

9 x 9 x 9 x 9

9.

What is 16 x 8 as a power of 2?

2^{5}

2^{6}

2^{7}

2^{8}

16 = 2^{4}; 8 = 2^{3}. To multiply powers of the same number you add the indices

10.

What is 4^{3} x 3^{4} as a single power number?

12^{7}

7^{12}

7^{7}

none of these

You can't add the indices to multiply unless both numbers are powers of the same base

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^{3}= (2 x 2 x 2)^{3}= (2^{3})^{3}. To raise a power to a power, multiply the indices