laws of indices
What laws of indices means in Mathematics A-Level, as defined for AQA, WJEC.
Definitions of laws of indices
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Reference: AQA
The three core rules a^m × a^n = a^(m+n), a^m ÷ a^n = a^(m-n) and (a^m)^n = a^(mn), which hold for all rational m and n.
For a common base a > 0, multiplication adds indices, division subtracts them, and a power of a power multiplies them.
Topics that use laws of indices
- B: Algebra and functions (AQA A-Level)
- Algebra and Functions (AS Unit 1: Pure Mathematics A) (WJEC A-Level)
Related terms
- Asymptotes
- Completing the square
- critical values
- direct proportion
- Discriminant
- Factor theorem
- Graph transformations
- graphical intersections
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