Your learners will be multiplying and dividing indices with the same bases throughout this worksheet, and they will have the opportunity to investigate brackets and powers.

In section A, pupils will evaluate expressions involving indices, including fractional bases and bases to the power of zero.

Section B consists of 12 expressions that need simplifying. Each expression contains the same base and will be simplified using the index laws for multiplication and division. Pupils will be challenged further in section c as they continue simplifying expressions, but here with a greater number of terms and expressions where division is shown as fractions.

The worksheet ends with an extension which sees pupils investigating brackets and powers and then using their findings to answer further questions.