Question

Resolva em uma unica potencia de base 5:
5-(5¹².25–³.625–²)–³

Answer 1

Olá, Juliana.

$5\cdot(5^{12}\cdot25^{-3}\cdot625^{-2})^{-3}=\\\\=5\cdot(5^{12}\cdot(5^2)^{-3}\cdot(5^4)^{-2})^{-3}=\\\\=5\cdot(5^{12}\cdot5^{-6}\cdot5^{-8})^{-3}=\\\\=5\cdot(5^{12-6-8})^{-3}=\\\\=5\cdot(5^{-2})^3=\\\\=5\cdot5^{-6}=\\\\=5^{1-6}=\\\\=5^{-5}$