Final answer:
The most distant galaxy we have observed, GN-z11, is approximately 31.87 billion light years away from us.
Step-by-step explanation:
The distance from Earth to the galaxy GN-z11 is 9.8 Giga parsecs (Gpc). To convert this distance to light years (ly), we can use the conversion factor: 1 parsec = 3.26 light years. Therefore, 9.8 Gpc is equal to (9.8 * 3.26) billion light years. Calculating this, we get:
(9.8 * 3.26) = 31.87 billion light years.
So, the most distant galaxy we have observed, GN-z11, is approximately 31.87 billion light years away from us.