Answer:
a = 1
Explanation:
The problem is written as a linear equation:
((1/8)^-3)a = 512
512a = 512 . . . . simplify
a = 1 . . . . . . . . . divide by the coefficient of a
___
We suspect you might intend the exponential equation:
(1/8)^(-3a) = 512
512^a = 512 . . . . . simplify
a = 1 . . . . . . . . . . . compare bases and exponents
equivalently, take the log to the base 512:
a·1 = 1
a = 1