Ta có `: ( - 2 )^91 < 0 ; 5^35 > 0`
`⇒ ( - 2 )^91 < 5^35`
Vậy `, ( - 2 )^91 < 5^35 .`
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Ta có `: 3^{2n} = ( 3^2 )^n = 9^n`
`2^{3n} = ( 2^3 )^n = 8^n`
Vì `8^n < 9^n` nên `2^{3n} < 3^{2n}`
Vậy `, 2^{3n} < 3^{2n} .`
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Ta có `: 3^24680 = ( 3^2 )^12340 = 9^12340`
`2^37020 = ( 2^3 )^12340 = 8^12340`
Vi `8^12340 < 9^12340` nên `2^37020 < 3^24680`
Vậy `, 2^37020 < 3^24680 .`
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Ta có `: 2^1050 = ( 2^7 )^150 = 128^150`
`5^450 = ( 5^3 )^150 = 125^150`
Vì `128^150 > 125^150` nên `2^1050 > 5^450`
Vậy `, 2^1050 > 5^450 .`
