Laws of indices - EduqasRaising a power to a power

Using indices, we can show a number times itself many times or as another way of writing a square or cube root. Indices make complex calculations that involve powers easier.

Part ofMathsNumber

Raising a power to a power

Click to explore refreshed revision resources for GCSE Maths: How to raise a power to a power, with step-by-step slideshows, quizzes, practice exam questions, and more!

Example

\((k^3)^2\).

This means that \(k^3\) is to be squared, or multiplied by \(k^3\) again: \((k^3)^2 = k^3 \times k^3\)

Add the powers together, so \((k^3)^2 = k^3 \times k^3 = k^6\), so \((k^3)^2\) can be simplified to \(k^6\).

Letters or numbers to the power of zero

Dividing indices

Related links