Binomial theorem for positive integral Index

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Question

$The last digit, that is, the digit in the units place of the number {(67)}^{25} - 1 is$

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Solution

$On dividing 25 by 4 the remainder = 1 Therefore, unit digit in (67)^{25} = 7^{1} = 7 Therefore, unit digit in (67)^{25} - 1 = 7 - 1 = 6 .$

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