Câu hỏi của Gia bách Vũ

\(25^{15}=\left(5^2\right)^{15}=5^{30}\)\(8^{10}.3^{30}=\left(2^3\right)^{10}.3^{30}=2^{30}.3^{30}=\left(2.3\right)^{30}=6^{30}\)\(\text{Vì }5< 6\Rightarrow5^{30}< 6^{30}\)\(\Rightarrow25^{15}< 8^{10}.3^{30}\)Câu trả lời: \(25^{15}=\left(5^2\right)^{15}=5^{30}\)\(8^{10}.3^{30}=\left(2^3\right)^{10}.3^{30}=2^{30}.3^{30}=\left(2.3\right)^{30}=6^{30}\)\(\text{Vì }5< 6\Rightarrow5^{30}< 6^{30}\)\(\Rightarrow25^{15}< 8^{10}.3^{30}\)