Question

The largest number among the following is

(a) \(3^{2^{2^{2}}}\)

(b) \(\{(3^2)^2\}^2\)

(c) 3² × 3² × 3² 

(d) 3222

Answer 1

(a)  \(3^{2^{2^{2}}}\) =  \(3^{2^{4}}\) = 3¹⁶;

\(\{(3^2)^2\}^2 = 3^8 = 6561;\)

3² × 3² × 3² = 3^{2 + 2 + 2} = 3⁶ = 729 ;

∴ 3¹⁶ > 3⁸ > 3222 > 3⁶