Math, asked by anchalmaurya321, 10 months ago

(3527)654 में इकाई अंक क्या होगा?​

Answers

Answered by muscardinus
10

Given that,

A number i.e. (3527)^{654}.

To find,

The unit place of the given number

Solution,

The unit place of 3527 is 7 and it is repeated 654 times. It means that we can write it as : p=7^{654}. We know that the repeated places are as follows :

7^1=7\\\\7^2=9\\\\7^3=3\\\\7^4=1\\\\7^5=7

When 654 is divided by 4, the remainder is 2. So,

p=7^{654}=7^{4n+2}, n is remainder

It means that the unit place of q is 9. Hence, the unit place of (3527)^{654} is 9. Hence, this is the required solution.

Answered by kumarashi99190
1

Answer: 9

Step-by-step explanation:

Similar questions