b) \( \left(4 w^{3}\right)^{2} \)

When you square a term like \( \left(4 w^{3}\right)^{2} \), you can utilize the power of a product rule which states to square both the numerical coefficient and the variable part. Therefore, you'll get \( 4^{2} \times \left(w^{3}\right)^{2} = 16 w^{6} \). It's a straightforward yet essential part of algebra that allows you to simplify expressions efficiently! During your journey with exponents, make sure to watch out for common mistakes like forgetting to square the coefficient or mixing up the rules for multiplying exponents. Recall that \( (a^m)(a^n) = a^{m+n} \). Confirming each step along the way helps avoid those pesky errors that can trip you up on exams or while solving real-world math problems!