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Simplify the expression (8a^(m+3))^3 * (1/4a^(1−m))^6
asked
Aug 8, 2022
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Simplify the expression (8a^(m+3))^3 * (1/4a^(1−m))^6
Mathematics
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Lenkan
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5
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Answer:
(a^-3m+15)/8
Explanation:
Leslieann
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Aug 10, 2022
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Leslieann
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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) =
RamC
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Aug 13, 2022
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RamC
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