what is the remainder when 7^700 is divided by 100?
what is the remainder when 7^700 is divided by 100?
Answer/Solution
1
Steps/Work
(7^700)mod100= [7^(2*350)]mod100=[49^350]mod100=[(50-1)^350]mod100=[{350C349}*50*(-1)^349 +350C350*(-1)^350]mod100 = [-350*50+1]mod100=1mod100
So, evidently, the remainder will be 1.
ANSWER:A
So, evidently, the remainder will be 1.
ANSWER:A