Register
Simplify the expression (8a^(m+3))^3 * (1/4a^(1−m))^6
65.4k views
15 votes
Simplify the expression (8a^(m+3))^3 * (1/4a^(1−m))^6

User Lenkan
by
3.8k points

2 Answers

5 votes

Answer:

(a^-3m+15)/8

Explanation:

User Leslieann
by
4.0k 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
4.7k points
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

4.5m questions

5.9m answers

Other Questions

Before beginning voice lessons, Aubrey already knew how to sing 357 pieces, and she expects to learn 2 new pieces during each week of lessons. After 78 weeks of voice lessons, how many pieces will Aubrey
3x-by=-3 b=? what is the number of b? ​
Solve for x in the equation 3 x squared minus 18 x + 5 = 47. (I need this to be an answer like X=3+\_ square root 23)
Please answer asap.......... ...
What value of x makes the following true? 2(x + 10) = 4( 2x - 1)
Link Copied!