What is the unit digit in (384)1793 x (1035)317 x (261)491?✌☺❤
Answers
Answer:
Any Number that ends with 4 when multiplied by itself would have any one of these two numbers at the last digit: 1. 4, when multiplied by ...
Missing: ✌ ☺ ❤
Answer:
okay fine..
answer of your question is given below
Step-by-step explanation:
Any Number that ends with 4 when multiplied by itself would have any one of these two numbers at the last digit:
4, when multiplied by itself odd number of times: (….4)^(2n+1)=(….4).
6, when multiplied by itself even number of times: (….4)^2n=(….6).
Any number that ends with 5 when multiplied by itself any number of times would have 5 as its last digit: (….5)^n=(….5).
Any number that ends with 1 when multiplied by itself any number of times would have 1 as its last digit: (….1)^n=(….1).
So,
[(6374)^1793] would have 4 as its last digit. Let it be [….4].
[(625)^317] would have 5 as its last digit. Let it be [….5].
[(341)^491] would have 1 as its last digit. Let it be [….1].
Now, when some number that ends with 5 is multiplied with a number that ends with 4, its last digit would be 0. So, [(6374)^1793]x[(625)^317]={….0}.
And when any number is multiplied with a number that ends in 0 will as well have 0 as its last digit.
So, the units digit of [(6374)^1793]x[(625)^317]x[(341)^491] would be 0.
P.S. I don’t consider 0 as an acceptable exponent in regard to answering this question.