The expression \((10^{-3})^{-5}\) can be simplified by using the property of exponents \((a^m)^n = a^{m \cdot n}\).

Let's simplify:

\[
(10^{-3})^{-5} = 10^{-3 \times -5} = 10^{15}
\]

Thus, \((10^{-3})^{-5} = 10^{15}\).

Would you like any further details or have any questions?

Here are 5 related questions to explore:

1. How do you simplify \((a^{-2})^{-3}\)?
2. What is the value of \((2^{-4})^2\)?
3. How do you apply the power of a power rule in exponents?
4. What is the value of \(10^3 \times 10^2\)?
5. How do you simplify \(\left(\frac{10}{5}\right)^3\)?

**Tip:** When raising a power to another power, multiply the exponents!

Learn how to simplify the expression (10^-3)^-5 using the power of a power rule. This problem involves exponent rules and simplification techniques suitable for students in Grades 8-10.

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