`Bạn tham khảo nhé :`

`1, Ta có :` $2^{3}$ `=8`

$3^{2}$ `=9`

`Vì 9>8`

`⇒` $3^{2}$ `>` $2^{3}$

`Vậy` $3^{2}$ `>` $2^{3}$

`2, Ta có :` $2^{5}$ `=32`

$5^{2}$ `=25`

`Vì 32>25`

`⇒` $2^{5}$ `>` $5^{2}$

`Vậy` $2^{5}$ `>` $5^{2}$

`3, Ta có :` $2^{10}$ `=1024`

`Vì 1024>1000`

`⇒` $2^{10}$ `>1000`

`Vậy` $2^{10}$ `>1000`

`4, Ta có :` $3^{200}$ `=` $(3^2)^{100}$ `=` $9^{100}$

$2^{300}$ `=` $(2^3)^{100}$ `=` $8^{100}$

`Vì` $9^{100}$ `>` $8^{100}$

`⇒` $3^{200}$ `>` $2^{300}$

`Vậy` $3^{200}$ `>` $2^{300}$

`5, Ta có :` $9^{30}$ `=` $(3^2)^{30}$ `=` $3^{60}$

$27^{13}$ `=` $(3^3)^{13}$ `=` $3^{39}$

`Vì` $3^{60}$ `>` $3^{39}$

`⇒` $9^{30}$ `>` $27^{13}$

`Vậy` $9^{30}$ `>` $27^{13}$

`6, Ta có :` $3^{54}$ `=` $(3^2)^{27}$ `=` $9^{27}$

$2^{81}$ `=` $(2^3)^{27}$ `=` $8^{27}$

`Vì` $9^{27}$ `>` $9^{27}$

`⇒` $3^{54}$ `>` $2^{81}$

`Vậy` $3^{54}$ `>` $2^{81}$ 

`7, Ta có :` $27^{11}$ `=` $(3^3)^{11}$ `=` $3^{33}$

$81^{8}$ `=` $(3^4)^{8}$ `=` $3^{32}$

`Vì` $3^{33}$ `>` $3^{32}$

`⇒` $27^{11}$ `>` $81^{8}$

`Vậy` $27^{11}$ `>` $81^{8}$

`8, Ta có :` $5^{40}$ `=` $(5^4)^{10}$ `=` $625^{10}$

`Vì` $625^{10}$ `>` $620^{10}$

`⇒` $5^{40}$ `>` $620^{10}$

`Vậy` $5^{40}$ `>` $620^{10}$

`9, Ta có :` $5^{23}$ `=` $5^{22}$ `.5`

`Vì` $5^{22}$ `=` $5^{22}$ `; 5<6 `

`⇒` $5^{22}$ `.5<` $5^{22}$ `.6`

`⇒` $5^{23}$ `<` $5^{22}$ `.6` 

`Vậy` $5^{23}$ `<` $5^{22}$ `.6` 

`10, Ta có :` $72^{45}$ `-` $72^{44}$ `=` $72^{44}$ `.(72-1)=` $72^{44}$ `.71`

$72^{44}$ `-` $72^{43}$ `=` $72^{43}$ `.(72-1)=` $72^{43}$ `.71` 

`Vì` $72^{44}$ `>` $72^{43}$ `; 71=71`

`⇒` $72^{44}$ `.71>` $72^{43}$ `.71`

`⇒` $72^{45}$ `-` $72^{44}$ `>` $72^{44}$ `-` $72^{43}$

`Vậy` $72^{45}$ `-` $72^{44}$ `>` $72^{44}$ `-` $72^{43}$

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