Question

what is the quickest way to find \( \large remainder\) of
\(\large\tt \begin{align} \color{black}{\dfrac{16^3+17^3-18^3+19^3}{70}
}\end{align}\)

Answer 1

you can mod 70 it

Answer 2

can u elaborate m not too familiar with mod

Answer 3

but this may not be the quickest way

Answer 4

mod is an operation

Answer 5

are you familar with % in c++

Answer 6

remainder

Answer 7

yes

Answer 8

Have you covered modular arithmetic yet? If you haven't I don't think we should be doing this with mod, but if you have then you can break the expression into 4 parts and mod each of them. I'll do 16^3mod(70) as an example:

16^3mod(70) ≡ 16*16^2mod(70) ≡ 16*46mod(70) ≡ 36

The other 3 are just as easy. When you have the four parts you can add and subtract them as the original expression says then take mod(70) of that sum.

Answer 9

oh ok thnx