because e^(1/8) is the same as e^(1/8) out of 1, when you flip 1 and x you also flip e^(1/8) and 1, so it becomes 1 out of e^(1/8). when the power is in the demoninator (the bottom) and you want to make it the numerator (move it to the top) you add a negative sign to the power. for example, 1 out of 2 squared if the same as 2 to the negative second power
