1) $$a^{3n} \cdot a^{4} = a^{29}$$ $$a^{3n+4} = a^{29}$$ $$3n+4=29$$ $$3n = 29-4$$ $$3n = 25$$ $$n = \frac{25}{3}$$
Ответ: $$n = \frac{25}{3}$$