Question

potencias,
Utilizando as propriedades dots
Simplificando as Expressoes.
125^6x25^-6/(5^2)^-3x25^7​

Answer 1

Explicação passo-a-passo:

${125^6\times25^{-6}\over(5^2)^{-3}\times25^7}=\\ \\ {(5^3)^6\times(5^2)^{-6}\over5^{-6}\times(5^2)^7}=\\ \\ {5^{18}\times5^{-12}\over5^{-6}\times5^{14}}=\\ \\ {5^{18-12}\over5^{-6+14}}=\\ \\ {5^6\over5^8}=5^6\div5^8=5^{6-8}=5^{-2}={1\over5^2}={1\over25}$