Answer with Explanation:

= (243)(n/5) x 32n + 1 / 9n x 3n - 1
 
 
= (3 raised to 5)(n/5) x 32n + 1 / (3 raised to 2)n x 3n - 1
 
 
= (3 raised to 5 x (n/5) x 32n + 1) / (3 raised to 2n x 3n - 1)
 
 
= 3 raised to n x 32n + 1/ 3 raised to 2n x 3n - 1
 
 
= 3(n + 2n + 1) / 3(2n + n - 1)
 
 
= 3 raised to 3n + 1/ 3 raised to 3n - 1
 
 
= 3(3n + 1 - 3n + 1) = 3 raised to 2  = 9.

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