Prove that for R the reciprocal of the product is the produc

Prove that for R, the reciprocal of the product is the product of the reciprocal

Solution

Let\'s two real numbers a and b.

then reciprocal of a = 1/a and reciprocal of b = 1/b

then reciprocal of the product of a and b = 1/(a*b)

and product of the reciprocal a and b = 1/a * 1/b = 1/(a*b)

hence the reciprocal of the product is the product of the reciprocal .