Răspuns: 2020
Explicație pas cu pas:
Salutare!
[tex]\bf 25^{3}\cdot 5^{12}:(5^{3})^{6}\cdot 2020=[/tex]
[tex]\bf (5^{2})^{3}\cdot 5^{12}:5^{3\cdot6}\cdot 2020=[/tex]
[tex]\bf 5^{2\cdot 3}\cdot 5^{12}:5^{18}\cdot 2020=[/tex]
[tex]\bf 5^{6}\cdot 5^{12}:5^{18}\cdot 2020=[/tex]
[tex]\bf 5^{6+12}:5^{18}\cdot 2020=[/tex]
[tex]\bf 5^{18}:5^{18}\cdot 2020=[/tex]
[tex]\bf 5^{18-18}\cdot 2020=[/tex]
[tex]\bf 5^{0}\cdot 2020=[/tex]
[tex]\bf 1 \cdot 2020= \boxed{\bf 2020}[/tex]
==pav38==
O altă metoda
25³×5¹²:(5³)⁶×2020=5⁶×5¹²:5¹⁸×2020=5¹⁸/5¹⁸×2020=1×2020=2020
