Question

Find the unit’s digit in the product ( 3^67 * 6^39* 7^53)

Answer 1

Hey mate here we go

$as \: per \: ur \: question \: unit \: digit \: of \: \\ given \: product \: is \\ {3}^{67} \times {6}^{39} \times {7}^{53} \\ \\ \: now \: unit \: digit \: of \: {3}^{4} = 1 \\ then \: {3}^{7} = 1 \times 3 \times 3 \times 3 = 27 \\ unit \: digit \: of \: {6}^{9} = \: is \: always \: 6 \: only \\ {7}^{3} = 7 \times 7 \times 7 = 3 \\ \\ now \: whole \: unit\: product \: is \\ 7 \times 6 \times 3 = 6$

I hope this will helps you

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