Answer:
81
Step-by-step explanation:
Rolling 6-sided fair die you can throw out three even numbers: 2, 4, 6.
If a fair 6-sided die is rolled 4 times, then each of 4 times each of three even numbers can be thrown out. Then the number of different sequences that consist entirely of even numbers is
[tex]3\cdot 3\cdot 3\cdot 3=3^4=81.[/tex]