Question 933246
That's correct - however a solution with less computation is to note that *[tex \large 7 \equiv -2 \pmod{9}] so *[tex \large 7^4 \equiv (-2)^4 \equiv 16 \equiv 7 \pmod{9}]. Also *[tex \large 222 \equiv 6 \pmod{9}]. So *[tex \large 7^4 + 222 \equiv 7+6 \equiv 4 \pmod{9}].