ta có:
398=(3x2)49=649
2147=(2x3)49=649
vậy 398= 2147
so sánh \(3^{98}\)và \(2^{147}\)
\(3^{98}=3^{2\cdot49}=\left(3^2\right)^{49}=9^{49}\)
\(2^{147}=2^{3\cdot49}=\left(2^3\right)^{49}=8^{49}\)
Ta có \(9^{49}>8^{49}\)
\(\Rightarrow3^{98}>2^{147}\)
Ta có: \(3^{98}=\left(3^2\right)^{49}=9^{49}\)
\(2^{147}=\left(2^3\right)^{49}=8^{49}\)
Xét \(9^{49}\) và \(8^{49}\)có 9 > 8
=> \(9^{49}>8^{49}\)
=> \(3^{98}>2^{147}\)
Ta có: \(3^{98}\)= \(\left(3^7\right)^{14}\)= \(2187^{14}\)
\(2^{147}\)= \(\left(2^7\right)^{14}\)= \(128^{14}\)
\(\Rightarrow3^{98}>2^{147}\left(2187>128\right)\)