I see that you've uploaded a question related to solving and rearranging equations. Let me transcribe and solve these for you.

Question 2:

The given equation is: $2w^3x^3 - 3b^3a = -2y$

We are solving for $w$. Rearranging for $w^3$: $2w^3x^3 = 3b^3a - 2y$ $w^3 = \frac{3b^3a - 2y}{2x^3}$ Taking the cube root to isolate $w$: $w = \sqrt[3]{\frac{3b^3a - 2y}{2x^3}}$

Match to Options:

• Option 1: $w = \sqrt[3]{\frac{2x^3}{3b^3a - 2y}}$ → Incorrect.
• Option 2: $w = \left(\frac{9b^3a - 2y}{2x^3}\right)^{1/3}$ → Incorrect, $9b^3a$ does not match $3b^3a$.
• Correct Answer: None of these options.

Question 3:

The given equation is: $4x + 4n^2 3w^3 = 2y2a^3$

We solve for $w$. Rearranging for $3w^3$: $4n^2 3w^3 = 2y2a^3 - 4x$ $3w^3 = \frac{2y2a^3 - 4x}{4n^2}$ $w^3 = \frac{2y2a^3 - 4x}{12n^2}$ Taking the cube root: $w = \left(\frac{2y2a^3 - 4x}{12n^2}\right)^{1/3}$

Match to Options:

• The provided expressions do not match precisely.
• Correct Answer: None of these options.

Would you like a step-by-step explanation of either of these solutions?

Follow-Up Questions:

1. What is the general process for solving equations for a specific variable?
2. How do cube roots affect the simplification of equations?
3. Can we verify these answers with specific values for variables?
4. Why do the answer options often differ slightly from the derived form?
5. How do constants (like $n^2$) impact the rearrangement process?

Tip: Always double-check for algebraic simplification errors when matching answers to given options!