# How Are They Similar?

Number Theory Level 4

$\large 100^m-9^n\\ \large 64^j-7^k$

Let $$m, n, j$$ and $$k$$ be positive integers. If $$A$$ and $$B$$ are the smallest positive integers that can be written in the form of the first and the second expressions above respectively, find $$A\times B$$.

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