Final answer:
The sun produces 6.045 x 10⁴⁰ ergs of radiant energy in 1.55 x 10⁷ seconds, calculated by multiplying the energy produced per second by the total number of seconds.
Step-by-step explanation:
The question asks how many ergs of radiant energy the sun produces in 1.55 times 10⁷ seconds. Given that the sun produces 3.9 times 10³³ ergs of radiant energy per second, we can calculate the total energy produced over 1.55 x 10⁷ seconds by simply multiplying the two numbers together:
3.9 x 10³³ ergs/s x 1.55 x 10⁷ s = 6.045 x 10⁴⁰ ergs.
This calculation is a straightforward application of the multiplication of scientific notations and converting units from seconds to ergs.