AlexanderK AlexanderK
  • 18-01-2021
  • Mathematics
contestada

simplify the expression (8a^(m+3))^3 * (1/4a^(1−m))^6

Respuesta :

mhanifa
mhanifa mhanifa
  • 18-01-2021

Answer:

  • 8a^(15 - 3m)

Step-by-step explanation:

Simplifying in steps:

  • (8a^(m+3))^3 * (1/4 a^(1−m))^6 =
  • (2^3)^3a^(3(m+3)) * (2^-2)^6a^(6(1-m))
  • 2^9 a^(3m+9) * 2^(-12) a^(6 - 6m) =
  • 2^(9 - 12) a^(3m + 9 + 6 - 6m) =
  • 2^3 a^(15 - 3m) =
  • 8a^(15-3m) =
Answer Link
wxue2 wxue2
  • 17-01-2022

Answer:

(a^-3m+15)/8

Step-by-step explanation:

Answer Link

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