d. \( 5^{4} \cdot 2^{4} \)

Did you know that the expression \( 5^{4} \cdot 2^{4} \) can be simplified using the properties of exponents? By applying the rule \( a^{m} \cdot b^{m} = (a \cdot b)^{m} \), you can combine the bases! So, it becomes \( (5 \cdot 2)^{4} = 10^{4} \). Now, let's calculate \( 10^{4} \): it equals \( 10,000 \). This nifty little calculation not only simplifies the process but also highlights how exponents work beautifully together! Multiplying \( 5^4 \) and \( 2^4 \) directly gives you the same impressive result but with a lot less math hassle!