1. “Teach A Level Maths” Vol. 1: AS Core Modules
19: Laws of Indices
© Christine Crisp

2. Module C1 Module C2 Edexcel AQA MEI/OCR OCR
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3. Multiplying with Indices
e.g.1
e.g.2
Generalizing this, we get:

4. Multiplying with Indices
If m and n are not integers, a must be positive
e.g.3

5. Dividing with Indices
e.g.
Cancel
Generalizing this, we get:

6. Powers of Powers
e.g.
by rule (1)

7. Exercises
Without using a calculator, use the laws of indices to express each of the following as an integer 1. 2. 3.

8. A Special Case
e.g. Simplify
Using rule (3)
Also,

9. A Special Case
e.g. Simplify
Using rule (2)
Also,
So,
Generalizing this, we get:

10. Another Special Case
e.g. Simplify
Using rule (3)
Also,

11. Another Special Case
e.g. Simplify
Using rule (3)
Also,
So,