How would you do this math problem?

I'd realise that multiplying by the reciprocal of a number, is equivalent to dividing by that number. I'd then notice that both the dividend and the divisor are identical - meaning that the quotient is unity.

In other words:

2401 x 1/2401 = 2401/2401 = 1

2401 x 1/2401
= 2401/2401
= 1