I had to read it twice to catch on . . .
We are expected to be familiar with number bases.Suppose is an integer with .
Use the Binomial Theorem and the appropriate row of Pascal's triangle
to find the base-b expansion of
(that is, the fourth power of the number in base b notation).
For example, means:
Then we see that: . means: .
And they are asking for: .
. . Got it?