The objective is simple- students need to find z. To do so, they will need to complete 25 algebraic substitutions in various forms (including some powers and roots). Plenty of practice with a competitive edge.

A rich activity to help students think about the meaning of indices and the index laws. Based on the numbers in index form, students should think about what the powers mean and use mathematical reasoning to deduce whether numbers are odd, even, square, or cube. There is also a short challenge to extend the thought processes.