a) \(\frac{2^{47}\cdot5^{14}\cdot18^{13}\cdot45^{17}}{180^{30}}\)
=\(\frac{2^{47}\cdot5^{14}\cdot2^{13}\cdot3^{26}\cdot3^{34}\cdot5^{17}}{2^{60}\cdot3^{60}\cdot5^{30}}\)
=\(\frac{2^{60}\cdot3^{60}\cdot5^{31}}{2^{60}\cdot3^{60}\cdot5^{30}}\)
=\(\frac{5^{31}}{5^{30}}=5\)