Respuesta :

Given:

[tex](-5)^7\div(-5)^2[/tex]

To simplify:

Using the quotient of powers rule we get,

[tex]\begin{gathered} (-5)^7\div(-5)^2=(-5)^{7-2} \\ =(-5)^5 \end{gathered}[/tex]

Hence, the answer is,

[tex](-5)^5[/tex]

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