Quiz (1 point)
Prove that:
(a ⋅ c) ⋅ ((1 / b) ⋅ (1 / d)) = (a / b) ⋅ (c / d)
The following properties may be helpful:
- (a ⋅ b) ⋅ (c ⋅ d) = ((a ⋅ c) ⋅ b) ⋅ d
- (a ⋅ b) ⋅ c = a ⋅ (b ⋅ c)
- (a ⋅ (1 / b)) ⋅ (c ⋅ (1 / d)) = (a / b) ⋅ (c / d)
if the following are true:
- a = b
- b = c
- c = d
then a = d
Please write your proof in the table below. Each row should contain one claim. The last claim is the statement that you are trying to prove.