1. INDICES 2

2. Reminder
RULE 1 am × an = am + n
RULE 2 am ÷ an = am − n
RULE 3 (am)n = am × n
RULE 4
RULE 5 a0 = 1

3. Fractional indices
Consider
and So
The index means ‘square root’
The index means ‘cube root’
This can be written more generally as:
The index means ‘nth root’

4. Examples
1 Find the value of a b c d e a b c d e

5. can be written as
similarly
can be written as
In general:

6. Examples
2 Find the value of a b c d e a b c d e

7. Examples
2 Find the value of n if
first write 32 as a power of 2 so

8. Examples
3 Find the value of n if
first write as a power of 5 so

9. Examples
4 Find the value of n if
first write 125 as a power of 5 so

10. Examples
5 Find the value of n if
first write 162 as a power of 4 so