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Which is larger ${(3^{3})}^{3}, 3^{3^{3}}$ $(3^3)^3, 3^(3^3)$ ?

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MathFact-orials.blogspot.com

Mar 8, 2018

$3^{3^{3}}$ $3^(3^3)$ is larger

Explanation:

${(3^{3})}^{3} = 27^{3} = 19683$ $(3^3)^3=27^3=19683$

$3^{3^{3}} = 3^{27} \approx 7 \times 10^{12}$ $3^(3^3)=3^27~~7xx10^12$

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