Students use reciprocals to evaluate indices with fractional and decimal powers.

Using square and cube numbers and their roots they progress on to more complex terms where the base can also be a fraction.

**Differentiated Learning Objectives**

- All students should be able to evaluate an expression in index form with a faction of ½, 1/3, ¼ as the power.
- Most students should be able to evaluate an expression in index form with any fraction as the power.
- Some students should be able to solve equations in index form where the power is the unknown.