Which of the following is the descending order of `(343)^(3), (2401)^(2)` and `(49)^(5)` ?

Options

A. `(49)^(5), (343)^(3), (2401)^(2)`
B. `(2401)^(2), (343)^(3), (49)^(5)`
C. `(343)^(3), (49)^(5), (2401)^(2)`
D. `(49)^(5), (2401)^(2), (343)^(3)`

Answer

A

Explanation

(i) Convert the number to the same base.
(ii) Let, `4^(x)=3^(y)=k` and get values of 4 and 3 in terms of k.
(iii) Substitute 3 in `9^(y)=5^(z)` and simplify.