Решение задания 425

• a) $$5^8 \cdot 25 = 5^8 \cdot 5^2 = 5^{8+2} = 5^{10}$$
• б) $$3^{12} \cdot 27 = 3^{12} \cdot 3^3 = 3^{12+3} = 3^{15}$$
• в) $$6^{15} \cdot 36 = 6^{15} \cdot 6^2 = 6^{15+2} = 6^{17}$$
• г) $$2^9 \cdot 32 = 2^9 \cdot 2^5 = 2^{9+5} = 2^{14}$$
• д) $$0.4^5 \cdot 0.16 = 0.4^5 \cdot 0.4^2 = 0.4^{5+2} = 0.4^7$$
• e) $$0.001 \cdot 0.1^4 = 0.1^3 \cdot 0.1^4 = 0.1^{3+4} = 0.1^7$$