Question

25^3*5^12:(5^3)^6*2020​

Answer 1

Răspuns: 2020

Explicație pas cu pas:

Salutare!

$\bf 25^{3}\cdot 5^{12}:(5^{3})^{6}\cdot 2020=$

$\bf (5^{2})^{3}\cdot 5^{12}:5^{3\cdot6}\cdot 2020=$

$\bf 5^{2\cdot 3}\cdot 5^{12}:5^{18}\cdot 2020=$

$\bf 5^{6}\cdot 5^{12}:5^{18}\cdot 2020=$

$\bf 5^{6+12}:5^{18}\cdot 2020=$

$\bf 5^{18}:5^{18}\cdot 2020=$

$\bf 5^{18-18}\cdot 2020=$

$\bf 5^{0}\cdot 2020=$

$\bf 1 \cdot 2020= \boxed{\bf 2020}$

==pav38==

Answer 2

O altă metoda

25³×5¹²:(5³)⁶×2020=5⁶×5¹²:5¹⁸×2020=5¹⁸/5¹⁸×2020=1×2020=2020