P1.1.1 - Laws of indices

Laws of indices for all rational am × an = am + n, am ÷ an = am − n, (am)n = amn exponents. m The equivalence of a n and n am should be known.

Use laws of indices to connect the rule to the data and decision in the question.

This matters because laws of indices determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply laws of indices to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: Laws of indices is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.