Simplify 3 n 1 27 frac n 1 81 n - JAMB Mathematics 2017 Question
Simplify 3 (^{n − 1}) × 27 (\frac{n + 1}{81^n})
A
3\(^{2n}\)
B
9
C
3n
D
3 \(^{n + 1}\)
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Correct Option: B
3(^{n + 1}) × 27(\frac{n + 1}{81^n})
= 3(^{n + 1}) × 3 (\frac{3^{(n + 1)}}{3^{4n}})
= 3(^{n + 1 + 3n + 3 − 4n})
= 3(^{4n − 4n − 1 + 3})
= 32
= 9
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