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Question

Find the units digit of the expression 11^1 × 12^2 × 13^3 × 14^4 × 15^5 × 16^6 .

In some shortcut method please.

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Solution



units place digit of the entire expression depends only on the units place digit of all the terms involved.

In 11^1 - last digit -1

12^2 4

13^3 7

14^4 6

15^5 5

16^6 6

So 1+4+7+6+5+6 is 29

and so last digit is 9


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