The inverse of 2010 in the group Q ⁺ of all positive rational under the binary operation * defined by a * b = ab 2010 , a , b Q ⁺ , is

Step-by-step solution

By inspection of binary operation (*) over; a * ~b = ab 2010 , a , b , Q ⁺ 2010 is the identity element. And also we know that, the inverse of identity element is itself identity element. Hence, inverse of 2010=2010