Find the rightmost non zero digit of the number 30^2720
Answers
There are 2720^2 zreos in 30^2720 .
Hope it helps you .!!
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Answer:
What is the rightmost non-zero number of 30^2720?
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4 Answers
Mainak Das
, Associate at State Bank of India (2019-present)
Answered 3 years ago
the right most non zero digit will be 1
Let's see HOW??
30^2720 =( 3×10)^2720=3^2720×10^2720
Now the second part ie. 10^2720 will only produce zeros , so neglect that part,
for the first part3^2720
3^1=3 unit digit 3
3^2=9 unit digit 9
3^3=27 unit digit 7
3^4=81 unit digit 1
3^5=243 unit digit once again 3
So here we can see power of 3 only produce 4 different unit digits, it happened in a cyclic order “3,9,7,1”. so let's divide 2720 by 4
2720÷4 =680 NO REMAINDER
So we can say that the cyclic order will complete and at the end the power will be
3^4 =81
So 3^2720 will have 1 as unit digit which will be the right most non zero digit.
the right most non zero digit will be 1
hope it is helpfull please make me brainlist