Question

So sánh 2^90 và 5^36

Answer 1

Ta có: \(2^{90}=\left(2^5\right)^{18}=32^{18}\)

\(5^{36}=\left(5^2\right)^{18}=25^{18}\)

Vì \(32>25\) nên \(32^{18}>25^{18}\) \(\Rightarrow2^{90}>5^{36}\)

Vậy \(2^{90}>5^{36}\)

Answer 2

Ta có :\(2^{90}=\left(2^{10}\right)^9=1024^9\)

\(5^{36}=\left(5^4\right)^9=625^9\)

Vì \(1024^9>625^9\)

=>\(2^{90}>5^{36}\)

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Answer 3

Ta có \(2^{90}\) =(\(2^5\))\(^{18}\)= \(32^{18}\)

\(5^{36}\) =(\(5^2\))\(^{18}\) =\(25^{18}\)

Vì 32 > 25 nên \(32^{18}\)>\(25^{18}\)\(\Rightarrow\)\(2^{90}\)>\(5^{36}\)

Vậy \(2^{90}\)>\(5^{36}\)

Answer 4

Ta có \(2^{90}\) = ( \(2^{5_{ }^{ }}\) )