The expression \phi^n - (1 - \phi)^n involves the golden ratio, denoted as \phi, which is approximately 1.618. The golden ratio is a special number often found in mathematics, art, and nature. In this expression, \phi^n represents the golden ratio raised to the power of n, while (1 - \phi)^n represents the complement of the golden ratio raised to the same power. This expression can be used in various mathematical contexts, including Fibonacci numbers and combinatorial problems. As n increases, \phi^n grows rapidly, while (1 - \phi)^n approaches zero, making the overall expression dominated by \phi^n. This highlights the significance of the golden ratio in mathematical sequences and patterns.