### Simplifying numbers written in index form

Students learn how to use the multiplication and division rules to simplify numbers written in index form. As learning progresses they discover the power rule and power of zero.The start of the lesson is used to recap calculating square and cube numbers. The plenary challenges students to simplify a range of expressions written in index notation including the power rule.

##### Differentiated Learning Objectives

- All students should be able to simplify an expression using the multiplication rule.
- Most students should be able to use the multiplication and division rule to simplify expressions in index form.
- Some students should be able to derive the multiplication, division and power formulae using the rules of indices.

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