Rules of Indices

Indices Rules builds on the 7 rules from Powers and Roots. We will cover 3 more complicated rules here. Make sure you are confident with the following topics before moving onto laws and indices .

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Level 6-7 GCSE AQA Edexcel OCR WJEC Cambridge iGCSE Edexcel iGCSE

Indices Rule 8: Fractional Powers

The fractional indices laws apply when the power is a fraction.

This is commonly use to show square and cube roots .

Note: it doesn’t matter which order you carry out the square root and multiplication operations. In other words, the rule can also be written as

You should try to carry out the operations in the order that makes the calculation as simple as possible.

Level 6-7 GCSE AQA Edexcel OCR WJEC Cambridge iGCSE Edexcel iGCSE

Indices Rule 9: Multi-step Fractional Powers

You may also be asked to simplify expressions where the numerator is not \bf .