Question

3^{n}+3^{-n}/9^{n}+1

Answer 1

Смотри ответ на фото решение на листе

Answer 2

We can simplify the expression by first combining the terms in the denominator: $\frac{3^{n}+3^{-n}}{9^{n}+1}=\frac{3^{2n}+1}{3^{2n}\cdot 1 +1}=\frac{3^{2n}+1}{3^{2n}+1}$ Since the numerator and denominator are equal, the expression simplifies to 1. Therefore: $\frac{3^{n}+3^{-n}}{9^{n}+1}=1$