<prompt> Fumana linomoro tse tharo tsa ho qetela tsa 3437.nan  <response>: Instruction in English: Find the last three digits of 3437. . Response in English: I can help you find the last three digits of 3437.As 3437 is a large number, rather than finding out the exact value, we can find out the last three digits of the number after it is divided by 1000 using the cyclicity method. The first step is finding out the pattern. Lets start evaluating:3431 3433432 1176493433 403536073434 246871622473435 11470637556703We can see that the last three digits of every multiple of 343 ends with either 343 or 649. That means these numbers have a cycle of two. Now the next step is to find the last three digits for the power 7. For this we can divide 7 by 2 as it is the length of the cycle. The quotient will be 3 and the remainder will be 1. The remainder shows the place in the cycle where the last three digits land for the given power. In this case, it is 1 thus means the last three digits of 343 raised to the power of 7 are the same as the last three digits of 343 raised to the power 1 or simply 343. So, the last three digits of 3437 are 343. . Response in Sesotho: Nka u thusa ho fumana linomoro tse tharo tsa ho qetela tsa 3437. Kaha 3437 ke palo e kholo, ho e-na le ho fumana boleng bo nepahetseng, re ka fumana linomoro tse tharo tsa ho qetela tsa palo ka mora hore e aroloe ke 1000 ho sebelisa mokhoa oa cyclicity. Mohato oa pele ke ho fumana mohlala. Ha re qale ho lekola: 3431 343 3432 117649 3433 40353607 3434 24687162247 3435 11470637556703 linomoro tse 3 tse 3 tsa ho qetela tse 3 tse 3 tse qetellang me tharo e qetellang e ngoe le e ngoe. kapa 649. Ho bolela hore lipalo tsena li na le potoloho ea tse peli. Hona joale mohato o latelang ke ho fumana linomoro tse tharo tsa ho qetela bakeng sa matla a 7. Bakeng sa sena re ka arola 7 ka 2 kaha ke bolelele ba potoloho. Theko e tla ba 3 me e setseng e tla ba 1. Karolo e setseng e bontša sebaka sa potoloho moo linomoro tse tharo tsa ho qetela li fihlang bakeng sa matla a fanoeng. Tabeng ena, ke 1 kahoo ho bolela hore linomoro tse tharo tsa ho qetela tsa 343 tse phahamisitsoeng matleng a 7 li tšoana le lipalo tse tharo tsa ho qetela tsa 343 tse phahamisitsoeng ho matla a 1 kapa 343 feela. Kahoo, lipalo tse tharo tsa ho qetela tsa 3437 ke 343 . 