https://file.aiquickdraw.com/mathbot/file/172683557258164ofoyd4.jpg

I have viewed the image. Let me provide the answers for the two questions:

1. For \((3y)^3(2y^2)\):
   The answer is: \(54y^5\)

2. For \(\frac{12m^7n^8}{4mn^6}\):
   The answer is: \(3m^6n^2\)

Would you like further details or have any questions?

Here are 5 follow-up questions:
1. What is the rule for multiplying exponents with the same base?
2. How do you simplify terms with different bases but the same exponent?
3. What steps are involved in simplifying the division of powers?
4. Why is it important to combine like terms when simplifying algebraic expressions?
5. Can you explain how to apply the power of a product rule?

**Tip:** Always combine coefficients and exponents separately when simplifying algebraic expressions.

Use the rules of exponents to simplify the expressions: (3y)^3(2y^2) and (12m^7n^8)/(4mn^6).

Learn how to simplify algebraic expressions using the rules of exponents. This problem covers the multiplication and division of powers, and is suitable for students in Grades 7-9. Solutions include simplifying (3y)^3(2y^2) to 54y^5 and (12m^7n^8)/(4mn^6) to 3m^6n^2.

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