Indices – 2.1

Algebra and Functions I – Edexcel (9MA0)

In this course, Dr Niki Kalaydzhieva (UCL) explores algebra and functions, covering Topics 2.1, 2.2, and 2.3 in the Pearson Edexcel Level 3 Advanced GCE in Mathematics (9MA0) Specification for A Level. In the first mini-lecture, we recall how to used indices and the index laws (Topic 2.1). In the second mini-lecture, we work with fractional and negative indices (Topic 2.1). In the third mini-lecture, we practice expanding brackets and factorising (Topics 2.3, 2.6). In the fourth mini-lecture, learn how to factorise quadratic expressions (Topics 2.3, 2.6). In the fifth mini-lecture, we factorise cubic and quartic expressions before learning the difference of squares method (Topic 2.3). In the sixth mini-lecture, we introduce surds (Topic 2.2). In the seventh mini-lecture, we learn how to rationalise the denominator (Topic 2.2).

Indices – 2.1

In this mini-lecture, we introduce Topic 2.1 by recalling index laws. In particular, we consider: (how to use index notation to simplify expressions; (ii) the laws of indices and examples using these laws; and (iii) why the index laws work.