Lời giải:
$1990^{10}+1990^9=1990^9(1990+1)=1991.1990^9< 1991.1991^9=1991^{10}$

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$10^{10}=(10^2)^5=100^5=(2.50)^5=2^5.50^5=32.50^5< 48.50^5$

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$11^{1979}< 11^{1980}=(11^3)^{660}=1331^{660}$
$37^{1320}=(37^2)^{660}=1369^{660}> 1331^{660}$

$\Rightarrow 11^{1979}< 37^{1320}$

Ta có:\(10^{10}=\left(10^2\right)^5=100^5=\left(2.50\right)^5=2^5\cdot50^5\)

mà \(2^5=32< 48\)

      \(\Rightarrow10^{10}< 48\cdot50^5\)

Thank

you very

MUCH

bạn ơi ( 48 . 50 ) ^ 5 ak hay 48 . 50^5

48.50⁵ nha

tương tự nha bn y hệt lun

10¹⁰ < 48.50⁵

Mình chắc chắn 100% lun

10^10=10^5.10^5=10^5.100000

48.50^5=(10.5)^5.48=10^5.5^5.48=10^5.3125.48=10^5.150000

Vì 100000<150000 => 10^10<48.50^5.

Theo mình thì 10¹⁰ = (10²)⁵ = 100⁵  = (2.50)⁵ = 2⁵.50⁵

Mà 2⁵ = 32 < 48 => 10¹⁰ < 48.50⁵

\(48.50^5=48.10^5.5^5\)

\(10^{10}=10^5.10^5=10^5.5^5.2^5=10^5.5^5.32\)

\(vì\)\(10^5.5^5.32< 48.10^5.5^5\)

\(\Rightarrow10^{10}< 48.50^5\)

Ta có 10¹⁰=2¹⁰.5¹⁰=2⁹.2.5¹⁰

48.50⁵=2⁴.3.2⁵.(5²)⁵=2⁹.3.5¹⁰

vì 2⁹.2.5¹⁰ < 2⁹.3.5¹⁰

=> 10¹⁰ < 48.50⁵

Ta có 10¹⁰=2¹⁰.5¹⁰=2⁹.2.5¹⁰

48.50⁵=2⁴.3.2⁵.(5²)⁵=2⁹.3.5¹⁰

vì 2⁹.2.5¹⁰ < 2⁹.3.5¹⁰

=> 10¹⁰ < 48.50⁵

Ta có :\(10^{10}\)=\(10^{5+5}\)=\(10^5\)+\(10^5\)=100000.\(10^5\)

    Vì 48<100000

        \(50^5\)>\(10^5\)\(\Rightarrow\)\(10^{10}\)=48.\(50^5\)

ta có: 10¹⁰ = 100

          48.50⁵ =268354383

vì 100 bé hơn 268354383 nên 10¹⁰ bé hơn 48.50⁵