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Evaluate each of the following: (i)\ 2^...

Evaluate each of the following: `(i)\ 2^(55)xx\ 2^(60)-\ 2^(97)xx\ 2^(18)` `(ii)\ (2/3)^2xx\ (2/5)^(-3\ )xx\ (3/5)^2`

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Given That
`(i)\ 2^(55)xx\ 2^(60)-\ 2^(97)xx\ 2^(18)`
Using
`a^m xx a^n = a^m+n`
=`2^55+60 - 2^97+18`
`=2^115- 2^115`
`= 0`
Given that
`(ii) (2/3)^2 xx (2/5)^(-3\ ) xx (3/5)^2`
Using
`(a/b)^-n= (b/a)^n`
`2^2/3^2 xx (5/2)^3 xx 3^2/5^2`
`2^2 xx 5^3/2^3 xx 1/5^2`
`= 5/2`
Hence the required answers are `0` and `5/2`
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