Resposta:
Olá bom dia!
[tex](\frac{5^2+5^{-1}}{5} ):(\frac{5^0-5^{-1}}{5})\\\\= \frac{25+\frac{1}{5} }{5} :\frac{1-\frac{1}{5} }{5} \\\\= \frac{25+\frac{1}{5} }{5} .\frac{5}{1-\frac{1}{5} } \\\\= \frac{25+\frac{1}{5} }{1-\frac{1}{5} } \\\\= \frac{\frac{126}{5} }{\frac{4}{5} } \\\\=\frac{126}{5} .\frac{5}{4} \\\\= \frac{126}{4} \\\\=\frac{63}{2}[/tex]
