- Introduction to indices (exponents)
- Multiplication rules for indices
- Division rule for indices
- Negative indices
- Fractions raised to a negative index
- Rational (fractional) indices
- Simplifying terms with negative powers
- Expressing terms in the form axn
- Equations in which the power has to be found
- Summary of indices

Indices (or exponents) are used to write statements in shorthand where repeated multiplication is used.

Indices (or exponents) are used to write statements in shorthand where repeated multiplication is used.

For example, 6 × 6 × 6 × 6 × 6 × 6 × 6 can be written as 6^{7}

In the following short tutorial I try and explain this in far more detail and introduce some algebraic methods…

### Summary Exercise

## Multiplication Rule (1)

In this tutorial you are shown the rules for simplifying expressions involving multiplication

### Summary Exercise

## Multiplication Rule (2)

The next video tutorial extends the multiplication rule.

### Summary Exercise

Next you are shown how to handle the rules for dividing expressions containing indices.

### Summary Exercise

Next I introduce you to negative indices which is an extension of the division rule.

### Summary Exercise

In the next video you are shown how to work with rational (fractional) indices.

### Summary Exercise

You will need to be able to simplify terms with negative indices. Plenty of examples to try in this next video.

Next you are shown how to solve equations where the unknown is a power.

This is a summary of all the rules for indices or exponents.