Given that, according to sanitation departments report; the samount of garbage produced by 1 resident [tex] = 1.643 \times 10^3 [/tex]pound.
Given that population of the city [tex] = 2.61 \times 10^5 [/tex]
Now we have to find how much garbage did the city sanitation department collect last year.
To find that we just need to multiply the garbage produced by 1 resident with the population of the city.
Total garbage collected [tex] = (2.61 \times 10^5 ) * (1.643 \times 10^3 ) [/tex] pounds
Total garbage collected [tex] = (2.61*1.643) \times 10^{5+3} [/tex] pounds
Total garbage collected [tex] = 4.28823 \times 10^8 [/tex] pounds
Hence final answer is [tex] 4.28823 \times 10^8 [/tex] pounds.