her26mat
her26mat her26mat
  • 03-10-2021
  • Mathematics
contestada

Which value of c makes the equation true?

Which value of c makes the equation true class=

Respuesta :

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]

Answer Link

Otras preguntas

What might cause someone's mental map of a place to change
2048 est une puissance de 2. Laquelle?
The __________ nervous system controls body functions that do not require thought.
What is the missing term, a, in the pattern below? 28, 14, a, 3.5, 1.75, … A. 0 B. 10 C. 7.5 D. 7
The fall of Tenochtitlán in 1521 was significant because
Use the following terms in the same sentence: proton,neutron,and isotope
One side of a kite is 6 cm less than 4 times the length of another. The perimeter of the kite is 68 cm. Find the length of each side of the kite.
4x - (9 - 3x) = 8x - 1
The area of a square game board is 144 sq. in. What is the length of one of the sides of the board?
Jamie lost 27 pounds in 1 year . on avarage how many pounds did jamie lose per month