passpadi

2017

Mathematics

67ca00ce0c643c71d77dee1f

Simplify 3n−1 × (27n+1)/81n

A.

322n

B.

9

C.

3n

D.

3n + 1

Correct Answer: 9

Explanation

3n - 1 × (27n + 1/8nn) = 3n - 1 × (33(n + 1))/34n = 3(n−1+3n+3−4n) = 34n−4n−1+3 = 32 = 9

3n - 1 × (27n + 1/8nn) = 3n - 1 × (33(n + 1))/34n = 3(n−1+3n+3−4n) = 34n−4n−1+3 = 32 = 9
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