Question

 Simplify. (8(2x^3 y^5 )^3)/((4x^4 y^6 )^4 ) Show your work for each step.

Answer 1

1)
     8(2^3 x^9y^15)
= ----------------------
    4^4 x^16 y^24

      x^9 y^15
= -------------------
    4 x^16 y^24

             1
= -------------------
    4 x^7 y^9

2)

2^(6x - 12) = (2^-5)^(3x+12)
2^(6x - 12) = 2^(-15x-60)
6x - 12 = -15x - 60 
21x = -48
    x = -48/21
    x = -16/7