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(243)n/5 x 32n + 1 =? 9n x 3n - 1

Correct Answer: 9

Explanation:

Given Expression
= (243)(n/5) x 32n + 1

9n x 3n - 1


= (35)(n/5) x 32n + 1

(32)n x 3n - 1


= (35 x (n/5) x 32n + 1 )

(32n x 3n - 1)


= 3n x 32n + 1

32n x 3n - 1


= 3(n + 2n + 1)

3(2n + n - 1 )


=

33n + 1


33n - 1


= 3(3n + 1 - 3n + 1)   = 32   = 9.
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