Topic Content:
- Fractional Base Number & Decimal Base Number
- Evaluation Questions
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.
(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. \(\left ( \frac{1}{2} \right) ^3 \)
c. \(\left ( \frac{3}{5} \right) ^2 \)
d. (1.5)3
e. (2.7)4
Solution
a. \(\left ( \frac{1}{4} \right) ^6 \\ = \frac{1}{4} \: \times \: \frac{1}{4}\: \times \: \frac{1}{4}\: \times \: \frac{1}{4}\\ \: \times \: \frac{1}{4}\: \times \: \frac{1}{4}\)
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