Решение №3

1. $$a^8 cdot x = a^{13} \Rightarrow x = \frac{a^{13}}{a^8} = a^{13-8} = a^5$$
2. $$a^{11} cdot x cdot a = a^{16} \Rightarrow x = \frac{a^{16}}{a^{11} cdot a} = \frac{a^{16}}{a^{12}} = a^{16-12} = a^4$$
3. $$\frac{a^7}{x} = a^3 \Rightarrow x = \frac{a^7}{a^3} = a^{7-3} = a^4$$
4. $$\frac{x}{a^{13}} = a^{25} \Rightarrow x = a^{25} cdot a^{13} = a^{25+13} = a^{38}$$
5. $$\frac{x}{a^6} cdot a^5 = a^8 \Rightarrow \frac{x \cdot a^5}{a^6} = a^8 \Rightarrow x = \frac{a^8 \cdot a^6}{a^5} = \frac{a^{14}}{a^5} = a^{14-5} = a^9$$
6. $$\frac{a^4 cdot x}{a^{13}} = a^2 \Rightarrow x = \frac{a^2 \cdot a^{13}}{a^4} = \frac{a^{15}}{a^4} = a^{15-4} = a^{11}$$