Final answer:
The factory will make 1.69425 x 10^11 t-shirts in 5.210^5 days.
Step-by-step explanation:
To find the number of t-shirts that the factory will make in 5.210^5 days, we can multiply the number of t-shirts made per day by the number of days.
Given that the factory can make 32.510^4 t-shirts per day, we can multiply this quantity by 5.210^5:
32.510^4 x 5.210^5 = 32.5 x 5.21 x 10^4 x 10^5 = 169.425 x 10^9 = 1.69425 x 10^11
Therefore, the factory will make 1.69425 x 10^11 t-shirts in 5.210^5 days.