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Simplify, and express in terms of positive indices:

0 votes

Simplify, and express in terms of positive indices:

[(3^n-2)*)9^(n+1))]/[27^(n-1)]

 

asked Sep 9 in ALGEBRA 2 by mathgirl Apprentice
reshown Sep 9 by bradely

1 Answer

0 votes

[(3^n-2) X (9^n+1) ] / [ 27^n-1 ]  =  [(3^n-2) X (3^2(n+1)) ] / [ 3^3(n-1) ]

                                                           =  [(3^n-2) X (3^2n+2) ] / [ 3^3n-3 ]

                                                           =  [3^(n-2+2n+2) ] / [ 3^3n-3 ]

                                                           =  [3^(3n) ] / [ 3^3n-3 ]

                                                           =  3^(3n)-(3n-3)

                                                           =  3^(3n-3n+3)

                                                           =  3^3

[(3^n-2) X (9^n+1) ] / [ 27^n-1 ]  =  27.

Answer :

[(3^n-2) X (9^n+1) ] / [ 27^n-1 ]  =  27.

answered Sep 23 by homeworkhelp Mentor

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