#NumberAndAlgebra #Core >[!info]- [Indices A | NSW Curriculum Website](https://curriculum.nsw.edu.au/learning-areas/mathematics/mathematics-k-10-2022/content/stage-5/fad97db224) >- MA5-IND-C-01 simplifies algebraic expressions involving positive-integer and zero indices, and establishes the meaning of negative indices for numerical bases ## 📖 Prior Knowledge | Content | Prior knowledge | Used for | | ---------------------------------- | --------------------------------------------------------- | ---------------------------------------------------------------- | | [[Fractions Decimals Percentages]] | - reciprocal | - negative indices | | [[Algebraic Techniques]] | - generalising relationships<br>- simplifying expressions | - index laws with variables<br>- power of a product and quotient | | [[Indices]] | - index laws with numerical bases | - index laws with variables | ## [[Extend and apply the index laws to variables, using positive-integer indices and the zero index.pdf]] - Apply the index laws for numerical bases with positive-integer indices to develop the index laws in algebraic form - Establish that $x^0=1$ algebraically using index laws - Simplify algebraic expressions that involve the zero index ## [[Simplify algebraic products and quotients using index laws.pdf]] - Simplify algebraic expressions that involve powers, products and quotients of simple algebraic terms containing positive-integer indices ## [[Apply index laws to numerical expressions with negative-integer indices.pdf]] - Apply index notation, patterns and index laws to establish the meaning of negative indices for numerical bases - Evaluate numerical expressions involving a negative index by first representing them with a positive index - Represent given numbers in index form (integer indices and bases only) and vice versa