Final answer:
To write the expression with positive exponents and simplify it, we can rewrite it as (1/125)^4/3. Simplifying further, the expression becomes 1/5^4, which is equal to 1/625.
Step-by-step explanation:
To write the expression with positive exponents and simplify it, we can use the rules of exponents. The expression 125^-4/3 can be rewritten as (1/125)^4/3. By raising 1/125 to the power of 4/3, we get 1/125^(4/3).
Now, to simplify it, we can rewrite the denominator as the cube root of 125, which is 5. So, the expression simplifies to 1/5^4, which is equal to 1/625.
Learn more about Positive exponents