her26mat
her26mat her26mat
  • 03-10-2021
  • Mathematics
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Which value of c makes the equation true?

Which value of c makes the equation true class=

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mathstudent55
mathstudent55 mathstudent55
  • 03-10-2021

Answer:

c = 8

Step-by-step explanation:

[tex] \dfrac{(p^2)^3}{p^c} = p^5 \times p^{-7} [/tex]

[tex] \dfrac{p^6}{p^c} = p^{-2} [/tex]

[tex] p^{6-c} = p^{-2} [/tex]

[tex] 6 - c = -2 [/tex]

[tex] -c = -8 [/tex]

[tex] c = 8 [/tex]

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