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

User Lenkan
by
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2 Answers

5 votes

Answer:

(a^-3m+15)/8

Explanation:

User Leslieann
by
6.9k points
11 votes

Answer:

  • 8a^(15 - 3m)

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) =
User RamC
by
8.4k points
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