x = 3400 , y300 = 4 then ………………A) x < y B) x – y C) x

1.	x = 3400 , y300 = 4 then ………………A) x < y B) x – y C) x = y D) x > y
Answer» Correct option is (D) x > y \(x=3^{400},y=4^{300}\) \(\Rightarrow\) \(x=(3^4)^{100}=(81)^{100}\) and \(y=4^{300}=(4^3)^{100}=64^{100}\) \(\because\) 64 < 81 \(\Rightarrow\) \((64)^{100}<(81)^{100}\) \(\Rightarrow\) y < x or x > y Correct option is D) x > y

x = 3400 , y300 = 4 then ………………A) x < y B) x – y C) x = y D) x > y

Answer»

Correct option is (D) x > y

\(x=3^{400},y=4^{300}\)

\(\Rightarrow\) \(x=(3^4)^{100}=(81)^{100}\)

and \(y=4^{300}=(4^3)^{100}=64^{100}\)

\(\because\) 64 < 81

\(\Rightarrow\) \((64)^{100}<(81)^{100}\)

\(\Rightarrow\) y < x or x > y

Correct option is D) x > y