Quiz (1 point)
Prove that:
((3 / 4) ⋅ (s ⋅ s))(1 / 2) = (3(1 / 2)) ⋅ (s / 2)
The following properties may be helpful:
- (3 / 4) ⋅ (s ⋅ s) = 3 ⋅ ((s ⋅ s) ⋅ (1 / 4))
- (x ⋅ y)n = (xn) ⋅ (yn)
- ((s ⋅ s) ⋅ (1 / 4))(1 / 2) = s / 2
if (3 / 4) ⋅ (s ⋅ s) = 3 ⋅ ((s ⋅ s) ⋅ (1 / 4)), then ((3 / 4) ⋅ (s ⋅ s))(1 / 2) = (3 ⋅ ((s ⋅ s) ⋅ (1 / 4)))(1 / 2)
if a = b, then c ⋅ a = c ⋅ b
if the following are true:
- a = b
- b = c
then a = c
if the following are true:
- a = b
- b = c
then a = 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.