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Evaluate each of the following (i)((1...

Evaluate each of the following
(i)`((11)/(12))^3` (ii) `(3/4)^(-3)`

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Solution:
`(11/12)^3`
Using
`=(a/b)^m=(a)^m/(b)^m`
`=(11)^3/(12)^3`
`=(11xx11xx11)/(12xx12xx12)`
`= 1331/1728`
Hence the required answer is`1331/1728`
(ii)`(3/4)^(-3)`
Again, using
`=(a/b)^m=(a)^m/(b)^m`
=`(3)^-3/(4)^-3`
using
`a^-m=1/a^m`
`=1/3^3xx4^4`
`=(4)^3/(3)^3`
`= (4xx4xx4)/(3xx3xx3)`
`=64/27`
Hence the required answer is `64/27`
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