The expression \( \frac{8}{\frac{1}{64}} \) can be simplified as follows:

### Step-by-step solution:
1. When dividing by a fraction, it's the same as multiplying by its reciprocal:
   \[
   \frac{8}{\frac{1}{64}} = 8 \times \frac{64}{1}
   \]
2. Now, multiply 8 by 64:
   \[
   8 \times 64 = 512
   \]

Thus, the result of \( \frac{8}{\frac{1}{64}} \) is **512**.

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Here are 5 related questions:
1. What is \( \frac{5}{\frac{1}{25}} \)?
2. How would you solve \( \frac{12}{\frac{1}{144}} \)?
3. Simplify \( \frac{3}{\frac{1}{9}} \).
4. What is the result of \( 10 \times \frac{1}{100} \)?
5. How would you simplify \( \frac{15}{\frac{1}{225}} \)?

**Tip:** When dividing by a fraction, always multiply by the reciprocal to simplify the calculation.

Learn how to simplify the expression 8 divided by 1/64 through step-by-step guidance. This problem highlights key concepts such as division of fractions and multiplication by reciprocals. Suitable for students in Grades 5-7.

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