In the image you uploaded, I see two expressions involving exponents:

1. The top expression shows $3 \cdot (x y^2)^3$
2. The bottom expression shows $3 \cdot (x y)^2$

The primary focus here appears to be on applying the power of a power rule and simplifying these expressions.

To help clarify the simplification:

For $3 \cdot (x y^2)^3$:

• We apply the exponent rule $(a \cdot b)^n = a^n \cdot b^n$.
• This gives us $3 \cdot x^3 \cdot (y^2)^3 = 3 \cdot x^3 \cdot y^6$.

For $3 \cdot (x y)^2$:

• Similarly, applying $(a \cdot b)^n = a^n \cdot b^n$ gives: $3 \cdot x^2 \cdot y^2$.

Would you like more details or have any specific questions about these steps?

Here are some related questions that expand on this topic:

1. How does the power of a product rule $(a \cdot b)^n = a^n \cdot b^n$ apply to other types of expressions?
2. What happens when we have negative exponents in an expression like $(x^{-2} y)^3$?
3. How do you handle fractional exponents in expressions like $(x^{\frac{1}{2}})^4$?
4. How can we simplify expressions with multiple variables raised to different powers?
5. What is the importance of simplifying exponents before solving algebraic equations?

Tip: When simplifying powers of products or powers within parentheses, remember to distribute the exponent to each factor inside the parentheses.