Question

simplifique a expressão fatorial
12- Simplifique a expressão:

a) 25. 125
(5²)²

alguém me ajude!!​

Answer 1

$\Large\boxed{\begin{array}{l}\begin{array}{c|c}\sf125&\sf5\\\sf25&\sf5\\\sf5&\sf5\\\sf1,1\end{array}\\\sf 125=5^3~~25=5^2\\\sf\dfrac{25\cdot125}{(5^2)^2}=\dfrac{5^2\cdot5^3}{(5^2)^2}\\\\\sf\dfrac{5^{2+3}}{5^{2\cdot2}}\\\\\sf\dfrac{5^5}{5^4}=5^{5-4}=5^1=5\end{array}}$