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Magical Products

You are probably aware of Magic Squares, and how they operate (i.e. the sums of the numbers in every row, every column, and every diagonal are equal).


Your Task: Create a 3 x 3 Magic Square such that the products of the numbers in every row, every column, and every diagonal are equal. In fact, you can then use the same technique for similarily solving 4 x 4, 5 x 5, ...., n x n Multiplication Magic Squares.

Note: Forgot to say that nine zeroes will not work, as the numbers in each of the nine cells have to be different.

 


Hint: Think carefully about the 3 x 3 example provided. How can it be used or adapted to create the requested magical square?

 


Solution Commentary: No answer...but I suggest you think about expoenents and rules for multiplying numbers (common bases) with exponents.