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Simplify algebraic products and quotients using index laws (ACMNA231) * understanding that the use of index notation is an efficient way of representing numbers and symbols and has many applications, particularly in science * connecting different strategies for simplifying expressions with indices to illustrate the meaning of negative indices, expanding and simplifying results * moving fluently between representations of numeric and algebraic terms with negative indices, and applying understanding of negative indices to calculations * applying knowledge of index laws to algebraic terms, and simplifying algebraic expressions using both positive and negative integral indices
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