Product groups. let m and n be postive integers that are at least 2. is zm × zn isomorphic to zn x z remember we defined the product of two groups (g, and (h, ) as the set g x h with the operation induced from g and h: (g1,h)(92, h2) (g 92, h. h2).

Three baby penguins and their father were sitting on an iceberg 0.50.50, point, 5 meters above the surface of the water. the father dove down 4.74.74, point, 7 meters from the iceberg into the water to catch dinner for his kids. what is the father penguin's position relative to the surface of the water?