Pascal's Triangle

The sum of the rows in Pascal's triangle are equal to 2 raised to the power of each of the rows. The 1st row is 2 raised to 0 power and so on. The sum of the rows are 1, 2, 4, 8, 16, 32...and so on.
In order to find 11 raised to the 7th power by using Pascals triangle we need to add the numbers first:

1

                                                                              1   1

                                                                            1   2   1

                                                                          1   3   3   1

                                                                        1   4   6   4   1

                                                                      1   5  10  10  5  1

                                                                    1   6  15  20  15 6  1

                                                                  1   7  21  35  35  21 7 1

Then you start with the first numbers:

17

To get the numbers in the middle you just add them as if you were adding numbers by moving the tens digit over:

19487171