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答案：E
解析：
Choice (E) is correct. Since 50 = 2 times 5^2, it follows that 50^7= (2 times 5^2)^7. Applying the laws of exponents to the preceding equality yields 50^7 = (2^7) times (5^14). From this representation of 50^7, it follows that 5^14divides 50^7 and that 14 is the largest value of n for which 5^n divides 50^7.
