The expression you provided is:

\[
8 \times (5)^{-10}
\]

To simplify this:

1. The term \(5^{-10}\) is the same as \(\frac{1}{5^{10}}\).
2. So the expression becomes:

\[
8 \times \frac{1}{5^{10}} = \frac{8}{5^{10}}
\]

3. Now calculate \(5^{10}\):

\[
5^{10} = 9,765,625
\]

4. Therefore, the simplified expression is:

\[
\frac{8}{9,765,625}
\]

This is the most simplified form of the expression. Numerically, this fraction is approximately:

\[
8 \div 9,765,625 \approx 8.192 \times 10^{-7}
\]

Would you like more details, or do you have any questions?

Here are 5 related questions for further exploration:
1. What is the meaning of a negative exponent?
2. How would you simplify \((2)^-5\)?
3. Can you explain the difference between a positive and negative exponent?
4. What is the value of \(10^{-3}\)?
5. How do we handle fractional exponents?

**Tip:** Negative exponents indicate reciprocals; \(a^{-n} = \frac{1}{a^n}\).

This solution simplifies the expression 8(5)^-10 using the laws of exponents. Key concepts include handling negative exponents and simplifying expressions step-by-step. The result is presented in its most simplified fractional form: 8 / 9,765,625. Suitable for students in Grades 8-10.

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