When we raise a number that is less than 1 to a given power, the answer is smaller than the original number.

**Example**

Work out (0.02)^{4}

**Answer**

We must calculate 0.02 x 0.02 x 0.02 x 0.02

We know that 2 x 2 x 2 x 2 = 16

But here we must divide each of the 2s by 100

and therefore we must divide the 16 by 100,000,000.

16 ÷ 100,000,000 = 0.00000016

So, 0.02^{4} = 0.00000016

Similarly, 0.2^{3} = 0.008 and 0.04^{3} = 0.000064

The easiest way to calculate these tricky problems is to **count decimal places.**

The rule is that you should always have the same number of decimal places in the answer as in the calculation.

So, in 0.2^{3} we have 0.2 x 0.2 x 0.2 which has a total of** three decimal places**.

The answer of 0.008 also has three decimal places.

In 0.04^{3} we have 0.04 x 0.04 x 0.04 which has **six decimal places.**

The answer of 0.000064 also has six decimal places.

Let's try some questions now - but don't forget to count those decimal places!

**Want a bit more help with this before you begin? Why not watch this short video?**