https://file.aiquickdraw.com/mathbot/file/1728743593343xmtk4c2s.jpg

Let's analyze the two given quantities to compare them.

### Quantity A:
\[
\frac{8^{8-4}}{8^3} = \frac{8^4}{8^3}
\]
Using the properties of exponents, we can simplify this:
\[
\frac{8^4}{8^3} = 8^{4-3} = 8^1 = 8
\]
So, **Quantity A = 8**.

### Quantity B:
\[
\frac{1}{2^{15}}
\]
This is just the reciprocal of \( 2^{15} \), which is a very small number:
\[
\frac{1}{2^{15}} \approx 0.00003
\]

### Comparison:
Clearly, **Quantity A (which is 8)** is much larger than **Quantity B (which is approximately 0.00003)**.

Thus, the correct answer is:
\[
\boxed{\text{Quantity A is greater.}}
\]

Would you like further details or have any questions? Here are 5 related questions you could explore:

1. What is the general rule for simplifying expressions with exponents?
2. How does the size of exponents affect the comparison of large or small numbers?
3. Can you explain why \(2^{15}\) grows so quickly?
4. How can you compare powers of different bases, like powers of 2 and powers of 3?
5. How would you handle expressions involving fractional exponents?

**Tip:** Always remember that when dividing like bases, you subtract the exponents!

Compare Quantity A: 8^(8-4) / 8^3 with Quantity B: 1 / 2^15.

Learn how to compare exponential expressions, specifically 8^(8-4) / 8^3 and 1 / 2^15. This solution uses properties of exponents and explains the simplification process step by step. Ideal for students in Grades 9-11.

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