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The expression provided is \( a^7 y^7 \). To rewrite this product as a single power, notice that both bases have the same exponent, 7. According to the property of exponents, when multiplying two terms with the same exponent but different bases, you can combine the bases as a product and keep the same exponent.

So:

\[
a^7 y^7 = (a \cdot y)^7
\]

Thus, the product \( a^7 y^7 \) can be rewritten as \( (a y)^7 \).

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

Here are 5 related questions you might want to explore:
1. How do you apply exponent rules to a product of powers with different exponents?
2. What happens when the bases are the same, but the exponents are different?
3. Can the same rule be applied to division of powers with the same exponents?
4. How would you simplify an expression like \( a^3 b^3 c^3 \)?
5. What is the general rule for combining products of powers?

**Tip**: When working with exponents, always check if the bases or the exponents are the same to simplify the expression more easily.

Learn how to simplify the expression a^7 y^7 by applying exponent rules. This problem covers key algebraic concepts related to exponents and is suitable for students in Grades 7-9.

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