plzz answer it fast plzz....urgent need
Answers
Answer:
2 is correct
Step-by-step explanation:
Mark me as brainliest
Question : 13^1001 x 7^133 x 2^143
Ans: 1st Step : we need to find the repeating units digit in 13 powers :
13^1 = 13 ( Unit Digit : 3 ) 13^5 = 371293 ( Unit Digit 3 )
13^2 = 169 ( Unit Digit : 9 )
13^3 = 2197 ( Unit Digit : 7 )
13^4 = 28561 ( Unit Digit : 1 )
So Every Four Times , The Unit Digit is repeating
2nd Step : Divide its Power with the number . which is 1001 divided by 13
1001 / 4 = 250 and remainder 1
If Remainder 1 = Unit Digit = 3
If Remainder 2 = Unit Digit = 9
If Remainder 3 = Unit Digit = 7
If Remainder 0 = Unit Digit = 1
Unit Digit = 3 for 13^1001
For 7^133
7 = unit digit 7
7*7 = unit digit 3
7*7*7 = unit digit 1
7 , 3 , 1 are repeating
If Remainder 1 = Unit Digit = 7
If Remainder 2 = Unit Digit = 3
If Remainder 0 = Unit Digit = 1
Divide 133/3 = 44 and Remanider 1
Unit Digit = 7
For 2^143
2 = unit digit 2
2*2 = unit digit 4
2*2*2 = unit digit 8
2*2*2*2 = unit digit 6
2,4,8,6 are repeating
If Remainder 1 = Unit Digit = 2
If Remainder 2 = Unit Digit = 4
If Remainder 3 = Unit Digit = 8
If Remainder 0 = Unit Digit = 6
143/4 = 35 and 3 remainder = unit digit 8
Question : 3*7*8 = 168 . and unit digit 8
This is the answer i am getting
hope it helps