Question

What is the digit in the unit's plase of (143) to power 86? (249)to power 98? (125)to power 34?

Answer 1

GOOD QUESTION......

a)143 to power 86

As we have the calculate unit place digit only so we can erase other numbers and the question will get reduced to

   3 to power 86   Ok???

 Now, you should know the cyclicity of all number between 1 to 9......

 Here your number is 3 whose cyclicity value is 4 means, after every four number in power it gives same number at unit place..........

  so, divide 86 by 4....which will give 2 as remainder....

 Now, question becomes 3 to power 2 which is 9.......

SO YOUR ANSWER IS 9.....

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