variable base to variable exponent

[bmwhype]

What is the value of R?
1. R^R = R
2. (1/R)^R = R

Can someone explain this in detail for me?

[coyote]

Is it E?

My line of thinking :

1. says R^R = R
R could be 1 or -1.
Hence, insufficient.

2. says (1/R)^R = R
R could be 1 or -1.
Hence, insufficient.

Both individually and together insufficient.

[abhi426]

OK Answer is E

Here is the most detailed explanation..

1. Says R^R = R

R could be 0, 1 , -1

2. (1/R)^R = R

R could be 1 , -1

From both, Shortlisted 1, -1 but not sure..