Thread: Pascal's Triangle

Suppose b is an integer with b >= 7. Use the Binomial Theorem and the appropriate row of Pascal's triangle to find the base-b expansion of ((11)b)^4 (that is, the fourth power of the number (11)b in base b notation).

I don't understand what exactly the question is asking. Do I need to write out a particular row of Pascal's triangle? What is meant by the base b notation? No row of Pascal's triangle contains 11^4 = 14641 in it, so what is meant by the fourth power? Thanks much.

Hello, aaronrj!

I had to read it twice to catch on . . .

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).

We are expected to be familiar with number bases.

For example, means:


Then we see that: . means: .

And they are asking for: .

. . Got it?