d) \( (5+3)^{3} \)

Did you know that the expression \( (5+3)^{3} \) simplifies beautifully to \( 8^{3} \), which equals \( 512 \)? This impressive result is a perfect example of how exponentiation magnifies numbers. It's like taking a small party of 8 and making it grow into a huge bash with 512 guests! In practice, you can apply this thinking to real-world scenarios like calculating volumes. For instance, if you're designing a cube-shaped storage unit with each side measuring 8 units, the volume would be \( 8^{3} = 512 \) cubic units! So whether it’s a party or a practical design, exponentiation packs a punch in outcomes.