Final answer:
The simplified form of (-5)^(-4) is 1/625.
Step-by-step explanation:
To find the simplified form of the expression (-5)^(-4), we need to raise -5 to the power of -4. When we have a negative base and a negative exponent, we can rewrite the expression as the reciprocal of the positive base raised to the positive exponent. So, (-5)^(-4) is equal to 1/(-5)^4. To simplify further, we can calculate (-5)^4 which is equal to 625. Therefore, the simplified form of (-5)^(-4) is 1/625.