2. \( \left(2 x^{2} y\right)^{5} \)

When you raise a power to a power, you multiply the exponents. So in this case, you’ll take each coefficient and variable inside the parentheses and raise them to the power of 5. This means \( (2^5)(x^{2 \cdot 5})(y^{1 \cdot 5}) \). Therefore, you get \( 32x^{10}y^{5} \) as your final answer. Voila! Always remember to keep a close eye on your exponents. A common mistake is to forget to raise each part inside the brackets to the exponent, often leading to errors in the final answer. Double-checking your work can save you from simple mistakes and ensure your solutions are spot on!