(2) \( 32^{3 / 5} \)

To solve \( 32^{3/5} \), we can first rewrite 32 as \( 2^5 \). This gives us \( (2^5)^{3/5} \). Using the power of a power property, we multiply the exponents: \( 2^{(5 \cdot 3/5)} = 2^3 = 8 \). So, \( 32^{3/5} = 8 \). Now, if you want to tackle similar problems, consider breaking down the base first, especially if it’s a power of a smaller number. Converting numbers to their prime factors can simplify the exponentiation process significantly! Just remember, keeping track of your bases can save you from common slip-ups.