Answer:
To verify the equality (x × y)⁻¹ = x⁻¹ × y⁻¹, we substitute the given values of x and y and check if both sides of the equation are equal.
Let x = -2/3 and y = -3/5.
Left-hand side (LHS):
(x × y)⁻¹ = (-2/3 × -3/5)⁻¹
= (6/15)⁻¹
= 15/6
= 5/2
Right-hand side (RHS):
x⁻¹ × y⁻¹ = (-2/3)⁻¹ × (-3/5)⁻¹
= (-3/2) × (-5/3)
= 15/6
= 5/2
The LHS (5/2) is equal to the RHS (5/2).
Therefore, when x = -2/3 and y = -3/5, the equation (x × y)⁻¹ = x⁻¹ × y⁻¹ holds true.
Hope this helps!