express --" 1025" in the form of a^b+b^a.?

Question

this is acommon sense question?

Answer 1

1024^1 + 1^1024

(There are in fact infinite solutions to this problem, as you did not specify that a and b need to be integers. For example, a=2 and b = 9.857709... is a solution)

Answer 2

In answer to your 1st question (1024^1) + (1^1024).
As for yr 2nd question: Any number z, can be expressed in (z-1)^1 + 1^(z-1). It just so happens in this case, 1025 has only that 1 solution i.e. (1025-1) and 1.
But some numbers have another solution aside from this magic standard solution.
For eg. 2169 has another solution besides a=2168 and b=1.

So No, this is not a common sense question. It is one of those tricky question where if you ask people to answer in 10 secs, they immediately know that the answer is z-1 and 1.

Answer 3

1025=1024+1=1024^1+1^1024.

Answer 4

I HAVE NEVER SEEN THIS MATHEMATIC WUESTIONS