Find the remainder when a is divided by m
a = 207^321 + 689! ; m=7

Answer with explanation:

⇒689!=689×688×687×686×........×7×6×5×4×3×2×1

So, 689! is divisible by 7.

We have to find the remainder when,

⇒ ,when divided by 7, gives remainder 3.

So,Remainder when

                    is 4.

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this