Question

What is the units digit in the product (7^209*6^102*3^2)?

Answer 1

Hey mate here we go

$unit \: digit \: of \: given \: product \: is \\ {7}^{209} \times {6}^{102} \times {3}^{2} = ....... \\ \\ unit of \: {7}^{9} is \\ {7}^{4} = 1 \: then \: {7}^{8} = 1 \\ nw \: {7}^{9} = 1 \times 1 \times 7 = 7 \\ {6}^{2} = 6 \\ {3}^{2} = 9 \\now \: 7 \times 6 \times 9 = 378 \\ i.e..8 \: is \: unit \: digit \: of \: that \: product$

I hope this will helps you

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