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Ta có : \(26^{50}>25^{50}=\left(5^2\right)^{50}=5^{100}\)
\(124^{33}< 125^{33}=\left(5^3\right)^{33}=5^{99}\)
\(\Rightarrow5^{99}< 5^{100}\Rightarrow125^{33}< 25^{50}\)
\(\Rightarrow124^{33}< 125^{33}< 25^{50}< 26^{50}\)
\(\Rightarrow26^{50}>124^{33}\)
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Ta có \(9^{50}=\left(3^2\right)^{50}=3^{100}\)
\(27^{33}=\left(3^3\right)^{33}=3^{99}\)
\(\Rightarrow3^{100}>3^{99}\)hay \(9^{50}>27^{33}\)
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\(26^{50}>25^{50}=\left(5^2\right)^{50}=5^{100}\)
\(124^{33}< 125^{33}=\left(5^3\right)^{33}=5^{99}\)
\(5^{99}< 5^{100}\Rightarrow125^{33}< 25^{50}\)
\(\Rightarrow124^{33}< 125^{33}< 25^{50}< 26^{50}\)
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Ta dễ dàng nhận thấy: 26 < 64 và 38< 50 nên 2638 < 6450
Vậy 2638 < 6450
So sánh 2638 và 6450
2638=(2.13)38=238.1338
6450=(2.32)50=250.3250
Vì 238 < 250 và 1338 < 3250
Nên 2638 < 6450
26^50<134^33
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