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Support Apply index laws to describe fractional indices as: a^(1/n) = n√(a) and a^(m/n) = n√(a^m) = (n√(a))^m

Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.

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Prerequisite dot points

Establish that x^0 = 1 algebraically using index laws

Stage 5 · Indices A Draft mapping

No checked resources on this prerequisite dot point yet.

Apply index notation, patterns and index laws to establish a^(- 1) = 1/a, a^(- 2) = 1/a², a^(- 3) = 1/a³ and a^(- n) = 1/aⁿ

Stage 5 · Indices B (Path) Draft mapping

Apply the index laws to simplify algebraic products and quotients involving negative-integer indices

Stage 5 · Indices B (Path) Draft mapping