Question

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

Answer 1

(a^-3m+15)/8

Explanation:

Answer 2

• 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) =