Question

Verify that (x×y) ^ - 1 = x ^ - 1 * y ^ - 1 , where (i) x = 19/17, y = - 2/5

Answer 1

answer

x=19/17

y=2/5

(19/17×2/5)^-1 = 19/17^-1×2/5^-1

(38/85)^-1 = 17/19×5/2((a/b)^-n=(b/a)^n)

85/38= 85/38

therefore (x×y) ^ - 1 = x ^ - 1 * y ^ - 1 are equal