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Laws of indices - AQALaw of indices – multiplication

Laws of indices give rules for simplifying calculations or expressions involving powers of the same base.

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Law of indices – multiplication

Click to explore updated revision resources for GCSE Maths: How to multiply indices, with step-by-step slideshows, quizzes, practice exam questions, and more!

Example

\(c^3 \times c^2\).

To answer this question, write \(c^3 \) and \(c^2\) out in full:

\(c^3 = c \times c \times c\)

\(c^2 = c \times c\).

So, \(c^3 \times c^2 = c \times c \times c \times c \times c\)

\(= c^5\)

This means \(c^3 \times c^2\) can be simplified to \(c^5\).