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If a=3 and b=-2, find the values of: (i)...

If `a=3` and `b=-2`, find the values of: `(i)\ a^a+b^b` `(ii)\ a^b+b^a` `(iii)\ (a+b)^(a b)`

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`(i)\ a^a+b^b`
`=(3)^3+(-2)^(-2)`
`=27+1/4`
`=(108+1)/4`
`=109/4`

`(ii)\ a^b+b^a`
`=(3)^(-2)+(-2)^3`
`=1/9+(-8)`
`=1/9-8`
`=(1-72)/9`
`=-71/9`

`(iii)\ (a+b)^(a b)`
`=(3+(-2))^-6`
`=1^(-6)`
`=1`
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