Simplify 3 n−1 n − 1 × 27 n+181n

Question 1 Report

Simplify 3 $^{n - 1}$ × 27 $\frac{n + 1}{81^{n}}$

^{2 n}

^{n + 1}

Answer Details

3 $^{n + 1}$ × 27 $\frac{n + 1}{81^{n}}$
= 3 $^{n + 1}$ × 3 $\frac{3^{(n + 1)}}{3^{4 n}}$
= 3 $^{n + 1 + 3 n + 3 - 4 n}$
= 3 $^{4 n - 4 n - 1 + 3}$
= 32
= 9

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