Final answer:
To simplify a^-4 / (2b^2)^3, rewrite it as 1 / (8a^4b^6).
Step-by-step explanation:
To simplify a-4 / (2b2)3, we can rewrite it as (1/a4) / (8b6). To divide by a negative exponent, we can move the term to the denominator, so we get 1 / (a4 * 8b6). Now we simplify further by multiplying the exponents of a and b: 1 / (8a4b6).