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71 = 7

72= 49

73 = 343

74 = 2401

75 = 16807

76 = 117649

The last two digits cycle after each exponent multiple of 4.

As 2011 = (4 x 502) + 3, then the tens digit in 72011 is the same as the tens digit in 73.......which is 4.

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Q: What is the tens digit in 7 to the 2011th power?
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