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- ToddLv 69 years agoFavorite Answer
25423 = 25420 + 3.
You can use the binomial theorem to expand (25420+3)^5. You will see that every term but one has a 25420 in it. Thus, because 25420 is a multiple of 10, only the final term in the sum, 3^5, will decide the units digit.
3^5 = 243, so the units digit is 3.
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