5.10. Есептеңдер: 1) 7^12 · (7^4)^2 / (7^5)^4; 2) 3^2 · (3^3)^2 / 81^2; 3) 5^5 · (5^3)^4 / 5^18; 4) (2^8)^3 · 2^6 / 2^22; 5) (3^5)^2 / (3^6 · 9); 6) 4^9 · 6^4 / (4^4)^3.

1. \(\frac{7^{12}\cdot(7^4)^2}{(7^5)^4}=7^{12+8-20}=7^0=1\).
2. \(\frac{3^2\cdot(3^3)^2}{81^2}=\frac{3^{2+6}}{(3^4)^2}=3^{8-8}=1\).
3. \(\frac{5^5\cdot(5^3)^4}{5^{18}}=5^{5+12-18}=5^{-1}=\frac15\).
4. \(\frac{(2^8)^3\cdot2^6}{2^{22}}=2^{24+6-22}=2^8=256\).
5. \(\frac{(3^5)^2}{3^6\cdot9}=\frac{3^{10}}{3^6\cdot3^2}=3^2=9\).
6. \(\frac{4^9\cdot6^4}{(4^4)^3}=\frac{4^9\cdot6^4}{4^{12}}=\frac{6^4}{4^3}=\frac{1296}{64}=\frac{81}{4}\).

Жауабы: 1) 1; 2) 1; 3) \(\frac15\); 4) 256; 5) 9; 6) \(\frac{81}{4}\).