SarpB166347 SarpB166347

29-10-2022
Mathematics

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Simplify the expression so there is only one positive power for the base, -5.-5 to the power of 7 divided by -5 to the power of 2

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CamilliaE495545 CamilliaE495545

29-10-2022

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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