Q. State whether the given statement is true or false.

Exponentiation is associative.

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Q. If 2ᵃ⁻ᵇ = 1 then the value of a-b is equal to _________

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Q. For some number a, b and c, aᶜ x bᶜ is equal to _________

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Q. If 0ᵃ is not equal to zero then which of the values a cannot take _________

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Q. The linear combination of gcd(252, 198) = 18 is?

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Q. The inverse of 3 modulo 7 is?

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Q. The integer 561 is a Carmichael number.

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Q. The linear combination of gcd(117, 213) = 3 can be written as _________

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Q. The inverse of 7 modulo 26 is?

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Q. The inverse of 19 modulo 141 is?

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Q. The integer 2821 is a Carmichael number.

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Q. The solution of the linear congruence 4x = 5(mod 9) is?

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Q. The linear combination of gcd(10, 11) = 1 can be written as _________

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Q. The value of 5²⁰⁰³ mod 7 is?

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Q. The prime factorization of 7007 is __________

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Q. Out of following which one is Mersenne Primes?

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Q. Out of the following which of these integers is not prime?

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Q. The prime factorization of 1001 is __________

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Q. Which positive integer less than 21 are relatively prime to 21?

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Q. Is 7, 8, 9, 11 are pairwise relatively prime.

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