`((243)^(n/5)xx3^(2n+1))/(9^(n)xx3^(n-1))` का मान क्‍या है?

Options

A. 3
B. 9
C. 6
D. 12

Answer

B

Explanation

`(243^(n//5)-3^(2n+1))/(9^(n)xx3^(n-1))`
`implies(3^(5xxn//5)xx3^(2n+1))/(3^(2n)+3^(n-1))` ltbgt `implies(3^(n)xx3^(2n+1))/(3^(2n)xx3^(n-1))`
`implies(3^(n+2n+1))/(3^(2n+n-1))`
`implies(3^(3n+1))/(3^(3n-1))`
`implies 3^((3n+1)-(3n-1))`
`implies3^((3n+1-3n+1))`
`implies3^(2)=9`