Question

Verify that (x × y) ^ - 1 = x ^ - 1 × y ^ - 1 (a) x = 2/5, y = -3/7​

Answer 1

Answer:

The equation is correct

Step-by-step explanation:

x = 2/5

y = -3/7

(xy)^-1 = x^-1 x y^-1

LHS = (xy)^-1

(2/5 x -3/7)^-1

(-6/35)^-1

= -35/6

RHS = x^-1 x y^-1

(2/5)^-1 x (-3/7)^-1

= 5/2 x -7/3

= -35/6

Therefore LHS = RHS

Hence proved:

(xy)^-1 = x^-1 x y^-1