Indices or powers are used to write statements in shorthand where repeated multiplication is used.

The following short tutorial will explain this in far more detail and introduce algebraic methods.

Introduction

Next you are shown the rules for simplifying expressions involving multiplication. The tutorial contains a short test at the end which asks you to simplify the following then provides you with the answers.

Tutorial on the multiplication rule and solutions to (1), (2), (3) and (4) above

The next video tutorial extends the multiplication rule and explains how to do questions like this.

Tutorial and worked solutions to (5), (6), (7) and (8) above

Next you are shown how to handle the rules for dividing expressions containing indices. Again at the end you are asked to answer these questions.

Tutorial and worked solutions to (9), (10) and (11)

More rules to come ......