Indices & Standard Form
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What you'll learn
The laws of indices, including negative and fractional indices, and writing/calculating with numbers in standard form.
- The three basic laws of indices work with the SAME base
- A zero index is always 1; a negative index means 'reciprocal'
- A fractional index is a root, possibly followed by a power
- Negative AND fractional together: deal with them one at a time
- Standard form writes very large or very small numbers as \(a \times 10^n\)
- Multiplying or dividing in standard form: combine coefficients and add/subtract powers, then renormalise