The expression you have is:

$\frac{1}{5^{-3}}$

We can rewrite this using the property of exponents, which states that $a^{-n} = \frac{1}{a^n}$, and vice versa.

Thus:

$\frac{1}{5^{-3}} = 5^{3}$

Now, calculate $5^3$:

$5^3 = 5 \times 5 \times 5 = 125$

So, the value of $\frac{1}{5^{-3}}$ is:

$125$

Would you like further clarification or more details?

Here are 5 related questions for practice:

1. What is $5^{-2}$ in simplified form?
2. How would you simplify $\frac{1}{2^{-4}}$?
3. What is $7^{-3} \times 7^{4}$?
4. How do you simplify $\left( \frac{1}{5} \right)^{-2}$?
5. What is $6^{0}$ and why?

Tip: When you have a negative exponent, flip the base to the reciprocal and make the exponent positive.