Question

If `(2m)^(-6) = 16`, what is the value of `2^(3m)`?

Answer 1

`(8)^(2^(-5/3)`

Explanation:

`(2m)^-6 =16 -> (2m)^6= 1/16`

`64 m^6 = 1/16`

`m^6= 1/1024= (1/2)^10=2^(-10)`

`m=2^(-5/3)`

Now `2^(3m)= 8^m=(8)^(2^(-5/3)`