Question

(2/9)^-7 * (3/7)^-7 = (x/y)^-7 Find x/y​

Answer 1

6/41 is the correct answer

Answer 2

Answer:

value of  (x/y) is   (41) / (63)

Step-by-step explanation:

given that :

$[(2/9)^{-7} ][(3/7)^{-7} ] = (x/y)^{-7}$

as powers are equal ; we can add bases.

$(2/9 + 3/7)^{-7} = (x/y)^{-7}$

as powers are equal on both sides , they can be cancelled.

(2/9 + 3/7) = (x/y)

[(2)(7) + (3)(9)]/ (9)(7) = (x/y)

(14 + 27) / (63) = (x/y)

(41) / (63) = (x/y)

value of  (x/y) is   (41) / (63)