Question

exercitiul 54 punctul d si e​

Answer 1

Explicație pas cu pas:

Salutare!

$\bf d) \: N_{4}={2}^{23} \cdot {5}^{20}$

$\bf N_{4}={2}^{20}\cdot{2}^{3}\cdot{5}^{20}$

$\bf N_{4}={10}^{20}\cdot{2}^{3} \implies 20\: zerouri$

$\bf e) N_{5}={8}^{45}\cdot{15}^{115}$

$\bf N_{5}=({2}^{3})^{45} \cdot{5}^{115}\cdot{3}^{115}$

$\bf N_{5}={2}^{3 \cdot45} \cdot{5}^{115}\cdot{3}^{115}$

$\bf N_{5}={2}^{135} \cdot{5}^{115}\cdot{3}^{115}$

$\bf N_{5}={2}^{115} \cdot {2}^{20} \cdot{5}^{115}\cdot{3}^{115}$

$\bf N_{5}={10}^{115} \cdot {2}^{20}\cdot{3}^{115} \implies \: 115 \: zerouri$