Question

So sánh :

\(^{x=2^{3^{2^3}}}\)và \(y=3^{2^{3^2}}\)

ai đúng , nhanh mik tik cho nhé

Answer 1

\(x=2^{3^{2^2}}=2^{3.2.2}=2^{12}\)

\(y=3^{2^{3^2}}=3^{2.3.2}=3^{12}\)

Ta có: \(2^{12}< 3^{12}\)

\(\Rightarrow x< y\)

Tham khảo nhé~

Answer 2

\(x=2^{3^{2^3}}=\left(2^3\right)^{2.3}=8^6\)

\(y=3^{2^{3^2}}=\left(3^2\right)^{2.3}=9^6\)

Ta có: \(8^6< 9^6\)

\(\Rightarrow x< y\)