Which of the following are not equivalent in modulo 7? O 37 O 16 O -5 O 24

Q: II. Determine whether each of the following statements about Fibonacci numbers is true or false. a.…

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Q: If today is Thursday, what day of the week will it be 20 days from now? Friday O Monday O Thursday O…

A: Introduction: For two given integers a and n, either n divides a or n doesn't divide a. When, n…

Q: Q If a b (mod n) and gcd (a, n) = d, then gcd (b,n) = d :Select one True False

A: We have check whether the statement, "If a≡bmodn and gcda,n=d then gcdb,n=d" is true are false.…

Q: Determine whether each case is true or not : * a. 44 = 13 (mod 3) > b. -55 = 5 (mod 4) → c. 74 = 1…

A: If a and b are integers and n > 0, we write a≡b(mod n) to mean n/(b-a). We read this as “a is…

Q: which of the below integers is congruent to 5 modulo 10. O 15 O 20 O none l hu the hashing

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Q: Which of the numbers listed below are congruent to 4 modulo 3? Select ALL that apply. 0-2 02 03 04…

A: To find the numbers listed below which are congruent to 4 modulo 3.

Q: The value of 52003 mod 7 is? 4 0 3 0 9 O 8 0

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Q: mod

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Q: Number theory

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Q: What number a E {0,1, ..., 22} is congruent to 1010 modulo 23? Answer:

A: Introduction: For two given integers, it is supposed that a,p=1 and p is prime. Then, in view of…

Q: 1. The value of 419 mod 7 is O 5 0 6 O 3

A: Given that 419 mod 7

Q: Prove the assertions below: (a) If a is an odd integer, then a? = 1 (mod 8). (b) For any integer a,…

A: In this question, we have given assertion in terms of congruence modulo here we prove  8(a) if a is…

Q: Determine which number, 0 through 6, 93 is equivalent to in modulo 7. a 93 = 3(mod 7) 93 = 4(mod 7)…

A: We want the number 93 is equivalent to in modulo 7.

Q: which of the below integers is congruent to 6 modulo 12 O 40 O 34 O 30 O none

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Q: 29. Decide whether each of these integers is congruent to 5 modulo 17. а) 80 с) —29 b) 103 d) –122

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Q: 10. Find the value of 5368 (mod 41) Answer: Show your work here:

A: To find the value of- 5368(mod41)

Q: explain please

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Q: Which expression is equivalent to [77 · (-65) + 147] mod 7? O 7 O [(147 mod 7) · (-65 mod 7) + (77…

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Q: Choose all statements that are correct. O 24 = 2° (mod 6) O 32 = 16 (mod 8) O 15 # 51 (mod 6) O 71 =…

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Q: The order of the integer 4 modulo 19 is: O 4 O None of the choices O 6

A: To find The order of the integer 4 modulo 19.

Q: Which is correct? 24 - 27 = 5 (mod 4) 19 × 27 = 7– 3 (1mod 6) %3D 72+5 = 32 (mod 9) 74 = 164 (mod…

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Q: The value of 52003 mod 7 is? 4 0 8 0 3 0

A: See the detailed solution below.

Q: Evaluate the expressions. (a) 23 div 9 (b) 23 mod 9

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Q: (c) Find 83-1 mod 105. (Note: Answer must be in between 0 and 104, inclusive.)

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Q: Which of the following sets are closed under the given operation?a. {0, 4, 8, 12} addition mod 16b.…

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: Find the value of 14147 (mod 1537) 656 657 None of them 659 658

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Q: The multiplicative inverse of 52 (mod 141) O is 19(mod 141) O is 50(mod 141) O is 51(mod 141) None…

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Q: The value of 52003 mod 7 is? 9 O 8 0 3 0 4 0

A: ab(mod c)=d where d is remainder when ab is divided by c.Here a,b and c are integers

Q: The value of 538 mod 11 is O 10 O 8

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Q: which of the below integers is congruent to 6 modulo 12 O none 40 30 34

A: 30

Q: 12 765,986 = 6 (mod 10) Select one: O True O False

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Q: If (a, 42) =1, then a^6-2=?mod 168 1 -1 None of these

A: Just apply the Fermat's Theorem.

Q: Is 17 congruent to 4 modulo 6.

A: 17, when divided by 6, leaves remainder 5

Q: In the formula a b (mod n), what is the value of b in 36 b (mod 5)?

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Q: State as TRUE or FALSE. d) 143 = -40 (mod 5) e) –4 = 788 (mod 3)

A: a≡b(mod n) means a-b is divisible by n

Q: which one of the following is a congruence ? O 39 = 5 mod 5 O 23 = 4 mod 5 O 29 = 5 mod 15 O 48 = 8…

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Q: modulo them? For which of the following prime numbers are 2 a square 59, 61. 17, 19,

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Q: 12. Decide which of these integers is congruent to 13 modulo 17. a) 81 b) 18 c) -38 d) 83 e) -11

A: Let  x ≈ 13mod (17) Then  x -13 divides 17

Q: What is the result of: 6(40 – 13) (mod 11) The result is 8

A: Given 6(40-13)(mod 11)

Q: Evaluate the following expression: 55 \ 5 * 6 Mod 3.

A: Assuming that the expression is the following: 55 / 5 * 6 Mod 3 Apply the following modular…

Q: Choose all statements that are correct. O 24 = 23 (mod 6) O 15 # 51 (mod 6) 32 = 16 (mod 8) O 71 =…

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Q: 10 =1 (mod 9) Select one: O True O False

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Q: 8. Evaluate 24¹3 mod 11 a. 0 b. 1 c. 2 d. 3 e. 4 f. 5 g. 6 h. 7 i. 8 1.9

A: Introduction: The Fermat's theorem relates two relatively prime number numbers with congruence. This…

Q: 5. Decide which of these integers is congruent to 13 modulo 17. a) 81 b) 18 c) -38 d) 83 e) -11

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Q: If 5x = 12 (mod 41), then the value of x (mod 41) is O 33 O 19 D 27 O 17

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Q: Determine whether each of the following statements about Fibonacci numbers is true or false 2Fn + 4…

A: The given equation is 2Fn+4=Fn+3. To prove that this statement is False, it is sufficient to give a…

Q: 15. Decide which of these integers is congruent to 6 modulo 19. a) -32 b) 63 c) -49 d) -11 e) 38

A: Here we have to find which integers are congruent to 6 modulo 19. For this Let us understand a…

Q: Which of the following sets is closed under the given operation? O (1.4,5, 7) multiplication mod 0…

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Q: Which of the following are not equivalent in modulo 4? 3. O 5 41 3.

A: 3 ≡ 3 (mod 4)5 = 4.1+1 ≡1 (mod 4)41 = 4.10 +1 ≡1 (mod 4)-3 =4(-1) +1 ≡1 (mod 4)

Q: Which numbers from the set {-57, 17, 108, 0, -110, -93, 1111, 130, 232} are congruent to 6 mod 11? O…

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Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.