An exponent is a number positioned above and to the right of a base value. It indicates repeated multiplication. An alternative word for this is index (plural indices).

Checking and securing understanding of roots and integer indices

Maths

In this unit, pupils formalised their understanding of the index laws. This understanding will allow them to perform calculations with values written in standard form more efficiently.

The conditions for standard form mean that pupils have explored how different powers of 10 can be written in the prior unit. In this unit, this understanding is generalised and the index laws formalised.

Arithmetic procedures: index laws

What is the value of A for: $$10^2 + A^3 = 127$$

What is the value of A for: $$A^2 + 6^3 = 360$$

Which is the best estimate for $$\sqrt{32}$$ (to 1 decimal place)?

What is the lowest common multiple of 12 and 14? 

What is the lowest common multiple of 12 and 15? 

What is the lowest common multiple of 12 and 16? 

What is the highest common factor of 12, 16 and 20? 

What is the highest common factor of 12 and 18? 

What is the highest common factor of 12 and 15? 

This lesson will be removed by end of Summer Term 2025.

Checking and securing understanding of roots and integer indices

Lesson outcome

This lesson will be removed by end of Summer Term 2025.