As written this statement can be seen to be false since the right hand side becomes 3^1; the cube root of 27 is 3. However, the left side is writen as 3^(SQR(27)) and the SQR(27) is not 1. Therefore the statement is false. It is also false if the radical index on the left was 3 not 2 . That would make the left side 3^3 and that does not equal the right side.