The expression \( 8^{-2} \) can be simplified as follows:

\[
8^{-2} = \frac{1}{8^2}
\]

Since \( 8^2 = 64 \), we get:

\[
8^{-2} = \frac{1}{64}
\]

So, \( 8^{-2} = \frac{1}{64} \).

Would you like further details or have any questions?

Here are 5 related questions to explore:

1. What is \( 5^{-3} \)?
2. How would you simplify \( (2^3)^{-2} \)?
3. What is the decimal value of \( 8^{-2} \)?
4. How do you calculate \( x^{-n} \) for any base \( x \) and exponent \( n \)?
5. What is the value of \( (3 \times 4)^{-1} \)?

**Tip:** Negative exponents represent the reciprocal of the base raised to the positive exponent.

Understand how to simplify the expression 8^-2 using the concept of negative exponents. This guide provides a step-by-step solution, including the formula x^-n = 1/x^n, and explains how to calculate 8^-2 to get 1/64. Ideal for students in Grades 7-8 learning about exponents and their properties.

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