Which expression is equivalent to \( \frac{2^{3}}{2^{7}} \) ? - \( \frac{1}{2^{4}} 2^{4} \)-2

Let’s simplify \( \frac{2^{3}}{2^{7}} \). According to the laws of exponents, when you divide like bases, you subtract the exponents. So, \( \frac{2^{3}}{2^{7}} = 2^{3-7} = 2^{-4} \). This can also be rewritten as \( \frac{1}{2^{4}} \). Now, if we check the provided option, \( \frac{1}{2^{4}} \) suggests we’re lucky to have an equivalent expression lurking there! It's like finding a gem hidden in the sand: understanding the laws of exponents simplifies problems and reveals treasures like equivalent expressions in no time! So, our answer is indeed \( \frac{1}{2^{4}} \).