\(6^{30}=6^{2\cdot15}=\left(6^2\right)^{15}=36^{15}\)
VÌ\(36^{15}\)>\(12^{15}\)
\(\Rightarrow6^{30}\)>\(12^{15}\)
Ta có : \(6^{30}\)= \(6^{6.5}\)= \(\left(6.6\right)^5\)= \(36^5\)
\(12^{15}\)= \(12^{3.5}\)= \(\left(12.3\right)^5\)= \(36^5\)
Vì 36 = 36 nên \(6^{30}\)= \(12^{15}\)
giải
Ta có : \(6^{30}=\left(6^2\right)^{15}=36^{15}\)
Ta thấy : \(36^{15}>12^{15}\)
\(\Rightarrow6^{30}>12^{15}\)