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If we take each row of the triangle and write the numbers as a single number (for example, 1,3,11,3,1 becomes 131131), these numbers form powers of

Question

If we take each row of the triangle and write the numbers as a single number (for example, 1,3,11,3,1 becomes 131131), these numbers form powers of

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Solution

The text you provided seems to be incomplete. However, based on the pattern you've given (1,3,11,3,1 becomes 131131), it seems like you're referring to Pascal's Triangle. In Pascal's Triangle, each number is the sum of the two numbers directly above it.

If we take each row of Pascal's Triangle and write the numbers as a single number, we don't get powers of a specific number. For example, the first few rows of Pascal's Triangle are:

1 1 1 1 2 1 1 3 3 1 1 4 6 4 1

If we write these as single numbers, we get:

1 11 121 1331 14641

These are not powers of a specific number. However, if we consider the numbers as they are in base 10, they are powers of 11. For example, 11^0 = 1, 11^1 = 11, 11^2 = 121, 11^3 = 1331, 11^4 = 14641, and so on.

So, if we consider each row of Pascal's Triangle as a single number in base 10, these numbers form powers of 11.

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