he solution of the linear congruence 103x = 444 (mod 999) is ) 111 ) 222 2 333 ) 444

Q: Expand 2) 2m²k4

A: Topic-Exponents

Q: Prove that if a, b e R, then (a) -(a+b) = (-a) + (-b), (b) (-a)·(-b) = a · b,

A: (a) Proof of the fact -(a+b)=(-a)+(-b): Since -1 is additive inverse of 1, hence  −1+1=0   (zero in…

Q: Proficiency #9. [Modular Arithmetic] Prove that 13,050,046 is not the square of a natural number.

A: Solution: Consider the given number is : a = 13,050,046 We know that All perfect squares end in 1,…

Q: example of a real number greater than 0

A: All the positive , negative , rational , irrational numbers are called the real numbers. It can also…

Q: Abstract Algebra: Show that a zero divisor cannot be a unit

A: It is not important for a ring to have a multiplicative inverse. When an element of a ring does have…

Q: Every natural number greater than 1 can be written as the products of prime numbers.

A: Prove that  every natural number greater than 1 can be expressed as product of primes or the number…

Q: Rewrite as a power of æ. What is the exponent on the æ?

A: The expression is x8x-2.

Q: Using calculus, find two non-negative real numbers whose sum is 8 and have the smallest possible…

A: The objective is to find two non-negative real numbers whose sum is 8 and have the smallest possible…

Q: 1. The value of the 5 in the number 594,631 is how many times larger than the value of the 5 in the…

A: Given: The first number  = 594,631 The second number = 859,463