Power to a negative number is 1 divided by the power to the inverse of the number. For example, 2-3 = 1 / 23
Quiz (1 point)
Given that:
not (xm = 0)
Prove that:
x((-1) ⋅ m) = 1 / (xm)
The following properties may be helpful:
- x(m + n) = (xm) ⋅ (xn)
- a + ((-1) ⋅ a) = 0
- x0 = 1
if m + ((-1) ⋅ m) = 0, then x(m + ((-1) ⋅ m)) = x0
if the following are true:
- a = b
- b = c
then a = c
if the following are true:
- a = b
- a = c
then b = c
if the following are true:
- a = b ⋅ c
- not (b = 0)
then c = a / b
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.