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The units digit in the 7^126 is

Answers (1)

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Solution:

We know that if any number N can be expressed as

\ Nequiv x(mod10), where \ 0leq xleq 9 , then the units digit in N is x

We have,

\ 7^2=49 equiv 9(mod10) .......(1)\ \Rightarrow 7^4=2401equiv 1(mod10),\ \Rightarrow (7^4)^31equiv 1(mod10)\ \Rightarrow 7^124equiv 1(mod10).........(2)

Multipying (1) and (2) , we get

\ 7^126equiv 9(mod10)

Unit's digit in \ 7^126 is 9

Posted by

Deependra Verma

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