Answer: 1/-13
Step-by-step explanation:The multiplicative inverse of a number
x is another number
y such that their product equals 1, i.e.,
⋅
=
1
x⋅y=1.
To find the multiplicative inverse of
−
13
−13, denoted as
1
−
13
−13
1
, we need to find a number
y such that:
(
−
13
)
⋅
=
1
(−13)⋅y=1
To solve for
y, divide both sides of the equation by
−
13
−13:
=
1
−
13
y=
−13
1
So, the multiplicative inverse of
−
13
−13 is
1
−
13
−13
1
.