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Problem of the Week
Problem D
Welcome to a New Year!

\(5^3\) is a power with base \(5\) and exponent \(3.\)

\(5^{3}\) means \(5\times 5\times 5\) and is equal to \(125\) when expressed as an integer.

When \(8^{674}\times 5^{2025}\) is expressed as an integer, how many digits are in the product?