If 36 raised to the 12 minus m power is equal to 6 raised to the 2 m power , what is the value of m ?

Rewrite 36 as 6². Then the left side becomes (6²)^(12 − m) = 6^(24 − 2m), so the equation has the same base on both sides. Set the exponents equal: 24 − 2m = 2m, which gives 24 = 4m and m = 6. The correct choice is 6.

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