INDICES 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

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’

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

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

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

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

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

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

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