Quiz (1 point)
Given that:
not (a = 0)
not (b = 0)
Prove that:
((a ⋅ b) ⋅ (1 / a)) ⋅ (1 / b) = 1
The following properties may be helpful:
- (a ⋅ b) ⋅ (c ⋅ d) = ((a ⋅ c) ⋅ b) ⋅ d
if the following are true:
- not (a = 0)
- not (b = 0)
then (a ⋅ (1 / a)) ⋅ (b ⋅ (1 / b)) = 1
if the following are true:
- a = b
- a = c
then b = c
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.