The average distance of the Moon from Earth is \( 3.84\cdot10^8\,\mathrm{m} \), and the average distance of Earth from the Sun is \( 1.5\cdot10^{11}\mathrm{m} \). How many times further is it from Earth to the Sun than from Earth to the Moon?
Let \( a=5^{-1}\cdot\sqrt5 \), \( b=5^{-\frac32}\cdot25 \), \( c=125^{\frac14}:5^{-3} \), \( d=5^{\frac13}\cdot25^{-\frac13} \). Which of these numbers is the biggest?