Answer: To simplify the expression, we can apply the exponent rule for powers of powers which states that to raise a power to another power, we multiply the exponents.
So,
(4a^(-2))^(-1/2) = 4a^(-2 * (-1/2)) = 4a^(1) = 4a
Therefore, (4a^-2)^-1/2 simplifies to 4a.
Explanation: