Answer:
-8
Step-by-step explanation:
First, plug in the numbers to the equation:

Any non-zero expression raised to the power of 0 equals 1:

Multiply the numbers:
-8
Hope this helped!
Is that the full question, because it doesn't make sense to me :/
X=6y
sum of their reciprocals
(1/x)+(1/y)=7
x=6y
1/6y+1/y=7
1/6y+6/6y=7
7/6y=7
times both sides by 6y
7=42y
divide both sides by 42
1/6=y
x=6y
x=6(1/6)
x=6/6
x=1
the numbers are 1 and 1/6