How does the main sequence lifetime ($t$) scale relative to stellar mass ($M$) based on the derived proportionality?
Answer
The lifetime is proportional to $M^{-2.5}$
By substituting the luminosity proportionality into the lifetime equation ($t arar ext extvisiblespace M/L$), the main-sequence lifetime arrives at a stark conclusion of being proportional to $M^{-2.5}$.
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