Question on: JAMB Mathematics - 2017
Simplify 3 \(^{n − 1}\) × 27 \(\frac{n + 1}{81^n}\)
A
3\(^{2n}\)
B
9
C
3n
D
3 \(^{n + 1}\)
Ask EduPadi AI for a detailed answer
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
= 3\(^{n + 1}\) × 3 \(\frac{3^{(n + 1)}}{3^{4n}}\)
= 3\(^{n + 1 + 3n + 3 − 4n}\)
= 3\(^{4n − 4n − 1 + 3}\)
= 32
= 9
Add your answer
Please share this, thanks!
No responses