This task was inspired by the work of Tony Gardner. There is an assumption that pupils already know the law of indices for multiplication of terms and know the rule for power 0. Like all tasks, the pedagogy around the task will determine the extent of the mathematical activity. If issued as a worksheet to complete, without opportunities for conjecture, exploration and reflection then there may be less fruitful mathematical activity than if those opportunities were allowed for.

The task aims to make connections between existing knowledge and this new 'rule' to be learned.

The task can be downloaded from here as a word document.

Credit: @chrismcgrane84 and Tony Gardner