Indices B

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Indices B (Path) | NSW Curriculum Website

• MA5-IND-P-01 applies the index laws to operate with algebraic expressions involving negative-integer indices

📖 Prior Knowledge

Content	Prior knowledge	Used for
Indices A	- negative indices with numerical base	- negative indices with variable base

Apply index laws to algebraic expressions involving negative-integer indices.pdf

• Apply index notation, patterns and index laws to establish $a^{-}1=\frac{1}{a}$, $a^{-2}=\frac{1}{a^2}$, $a^{-3}=\frac{1}{a^3}$, and $a^{-n}=\frac{1}{a^n}$
• Represent expressions involving negative-integer indices as expressions involving positive-integer indices and vice versa
• Apply the index laws to simplify algebraic products and quotients involving negative-integer indices
• Describe and use $x^{-1}$ as the reciprocal of $x$ and generalise this relationship to expressions of the form $(\frac{a}{b}{)}^{-1}$
• Use knowledge of the reciprocal to simplify expressions of the form $(\frac{a}{b}{)}^{-n}$