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well, for 1^2 it isn't very hard to figure out, but here is the basic explanation. there is one of 11, 111, 1111, etc. in each place value until there have been as many place values as there are digits of the original number (1,111; 11,110; 111,100; and 1,111,000 for example). the amount of digits in the product is equal to (n x2)-1, where n is the original number. then, it is like a bell ...
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