# A fossil is found to have 1/32 of its carbon- 14 remaining. How old is the fossil?

$5$ half lifes (half lives?)
$\frac{1}{32} = \frac{1}{2} ^ 5$, so the fossil has aged for 5 half lifes.
Assuming the half life is $5 , 730$ years, that's $5 \times 7 , 730 = 28 , 650$ years old.