The largest number among the following is(a) \(3^{2^{2^{2}}}\)(b) \(\{

1.	The largest number among the following is(a) \(3^{2^{2^{2}}}\)(b) \(\{(3^2)^2\}^2\)(c) 32 × 32 × 32 (d) 3222
Answer» (a) \(3^{2^{2^{2}}}\) = \(3^{2^{4}}\) = 3¹⁶; \(\{(3^2)^2\}^2 = 3^8 = 6561;\) 3² × 3² × 3² = 3² ^{+ 2 + 2} = 3⁶ = 729 ; ∴ 3¹⁶ > 3⁸ > 3222 > 3⁶

The largest number among the following is(a) \(3^{2^{2^{2}}}\)(b) \(\{(3^2)^2\}^2\)(c) 32 × 32 × 32 (d) 3222

Answer»

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

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

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

∴ 3¹⁶ > 3⁸ > 3222 > 3⁶