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Simplify the following: (i)\ (3^n\ xx\ 9...

Simplify the following: `(i)\ (3^n\ xx\ 9^(n+1))/(3^(n-1)\ xx\ 9^(n-1)) ,` `(ii)\ (5\ xx\ 25^(n+1)-\ 25\ xx\ 5^(2n))/(5\ xx\ 5^(2n+3)-\ (25)^(n+1))`

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`(i)\ (3^n\ xx\ 9^(n+1))/(3^(n-1)\ xx\ 9^(n-1)) `
`=(3^n\ xx\ 3^(2n+2))/(3^(n-1)\ xx\ 3^(2n-2))`
`=3^5=243`

`(ii)\ (5\ xx\ 25^(n+1)-\ 25\ xx\ 5^(2n))/(5\ xx\ 5^(2n+3)-\ (25)^(n+1))`
`=(5^(2n+3)-5^(2n+2))/(5^(2n+4)-5^(2n+2)`
`=1/6`
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