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[tex] \bf d) \: N_{4}={2}^{23} \cdot {5}^{20} [/tex]
[tex] \bf N_{4}={2}^{20}\cdot{2}^{3}\cdot{5}^{20} [/tex]
[tex] \bf N_{4}={10}^{20}\cdot{2}^{3} \implies 20\: zerouri[/tex]
[tex] \bf e) N_{5}={8}^{45}\cdot{15}^{115} [/tex]
[tex] \bf N_{5}=({2}^{3})^{45} \cdot{5}^{115}\cdot{3}^{115}[/tex]
[tex] \bf N_{5}={2}^{3 \cdot45} \cdot{5}^{115}\cdot{3}^{115}[/tex]
[tex] \bf N_{5}={2}^{135} \cdot{5}^{115}\cdot{3}^{115}[/tex]
[tex]\bf N_{5}={2}^{115} \cdot {2}^{20} \cdot{5}^{115}\cdot{3}^{115}[/tex]
[tex]\bf N_{5}={10}^{115} \cdot {2}^{20}\cdot{3}^{115} \implies \: 115 \: zerouri[/tex]
