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	Prerequisite relationships
Indices A	- Apply index laws to algebraic terms → Establish negative-integer indices - Simplify algebraic products and quotients → Apply index laws with negative-integer indices - Raise a product or quotient to a power → Simplify expressions of the form $(a/b{)}^{-n}$ - Apply negative-integer indices → Establish negative-integer indices

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 $(\frac{a}{b}{)}^{-n}$