Question

If (5)^a^a = 625, where a is any integer, then the
value of a is
(1) 1 (2) 3
(3) 4 (4) 2

Answer 1

(5)a^2 = 625
=(5)^4
As bases are equal ,
a^2 = 4
a = Square root of 4
= 2
So ,
a = 2 .
Hope it helps .

Answer 2

(5^a)^a = 625

If option (4)=2

5^2^2 = 625

25*25 =625

Therefore a =2