math helllllllllllpppp plzzzzzzzzzzzzzzzzzzzzzzz

posted by .

What are the last 2 digits of 43^2082?

  • math helllllllllllpppp plzzzzzzzzzzzzzzzzzzzzzzz -

    43^0 = 1 or 01
    43^1 = 43
    43^2 = 1849
    43^3 = 79507
    43^4 = 3418801
    43^5 = 147008443
    43^6 = ......049
    43^7 = ..... 07
    43^8 = ..... 01
    43^9 = ..... 43
    ahhh, can you see how the end repeats ?
    ending: 43 49 07 01 43 repeats after 4 numbers

    2082/4 = 520 and remainder of 1
    and behaves like
    43^1 , 1/4 = 0 and a remainder of 1 ---ends in 43
    43^9, 9/4 = 2 and a remainder of 1 --- ends in 43
    ..
    43^2082 , 2082/4 = 520 and a remainder of 1 --- ends in 43

    So 43^2082 ends in a 43

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    x has 3 digits. the tens digits is half the hundreds digits. the number is odd.the sum of the digits is 9
  2. Math

    A locker combination has three nonzero digits, and digits cannot be repeated. The first two digits are 1 and 2. What is the probability that the third digit is 3?
  3. math

    A locker combination has three nonzero digits, and digits cannot be repeated. The first two digits are 1 and 2. What is the probability that the third digit is 3?
  4. math master need your help

    what is next number in the sequence 12,6,4,3,2,12/5,... and 1,4,15,40,85,156,259,400,585,... also show the sequence scheme,kindly and ur last answer was wrong as 43 it was 49 for 43^2082
  5. math

    Solve the mathematical puzzle. Determine the digits of F from these clues. The digits of F are all the same. The sum of all the digits of F is 12. The answer when any two of the digits are multiplied together is also 9. F is a four-digit …
  6. Math

    If no digits may be used more than once , how many 5 digits can be formed using only the digits 3, 8,1,2,5 ,7?
  7. Math

    What am I? I am a decimal fraction with three digits I am bigger than half of 6 I am smaller than double 2 All my digits are odd When you add my digits you get 15
  8. 7th grade math "Math Makes Me Think"

    Day 15: What's my number? It has 3 digits. Sum of digits is 9. GCF of digits is 1. Product of hundreds and tens place is 1.
  9. math

    My hundred digits are less than 10 digits and ones digits are greater than 10 digits, what's my number?
  10. math

    A locker combination has three nonzero digits, and digits cannot be repeated. The first two digits are 1 and 2. What is the probability that the third digit is 3?

More Similar Questions