Fractional Base Number & Decimal Base Number

Whenever there is an index with a fractional base, or decimal base number, multiply the base number the same number of times as the index
e.g.

\(\left ( \frac{2}{5} \right) ^5 \\ = \left ( \frac{2}{5} \: \times \: \frac{2}{5}\: \times \: \frac{2}{5}\: \times \: \frac{2}{5}\: \times \: \frac{2}{5} \right) \)

(0.2) ⁴  =  0.2 × 0.2 × 0.2 × 0.2

Worked Example 4.2.1:

Change the following to ordinary form expanded

a. \(\left ( \frac{1}{4} \right) ^6 \)

b. \(\left ( \frac{1}{2} \right) ^3 \)

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