x = 3^400 , y = 4^300 then ………………

Question

x = 3⁴⁰⁰ , y³⁰⁰ = 4 then ………………

A) x < y 

B) x – y 

C) x = y 

D) x > y

Answer 1

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

Answer 2

Correct option is  D) x > y