It seems like you're exploring an unconventional operation or notation with \(5 \& 4 = 21\). In standard arithmetic, \(5\) and \(4\) do not equal \(21\) under basic operations like addition, subtraction, multiplication, or division. Here are a few possibilities of what this could mean:

1. **Custom Operation**: You might be defining a custom operation \(\&\) where \(5 \& 4 = 21\) by a specific rule.
2. **Concatenation**: It could mean the concatenation of digits 5 and 4 to form 54, but this does not explain the resulting 21.
3. **Base Conversion**: It could be some form of base conversion, but standard base conversions from 5 and 4 don't result in 21 in any conventional base systems.
4. **Typographical Error**: It could also be a simple typographical error.

If you meant to indicate something specific, please clarify the operation or the context. Here’s how the standard operations on 5 and 4 work:

- \(5 + 4 = 9\)
- \(5 - 4 = 1\)
- \(5 \times 4 = 20\)
- \(5 / 4 = 1.25\)

Would you like to explore a specific type of custom operation, or do you have another mathematical problem in mind?

Here are some questions related to different mathematical operations:

1. What is the result of \(7 + 3\)?
2. How do you perform subtraction with negative numbers?
3. Can you explain the concept of division as repeated subtraction?
4. What is the product of \(6 \times 8\)?
5. How do you solve \(5^2\)?
6. What is the result of \(12 \div 3\)?
7. Can you demonstrate how to use the associative property in multiplication?
8. What are the steps to solve \(3x + 4 = 19\) for \(x\)?

**Tip:** Always double-check your equations for any potential typographical errors, as they can lead to incorrect results.

Explore the meaning of the operation 5 & 4 = 21 in basic arithmetic. This problem involves exploring custom operations and understanding how standard arithmetic operations work with numbers. Suitable for students in Grades 3-5.

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