Final answer:
The graphs of y=2^x and y=2^(-x) are symmetrical about the y-axis, resulting in the y-axis (x=0) being the line of symmetry.
Step-by-step explanation:
The graphs of y=2^x and y=2^(-x) are indeed symmetrical. To find the line of symmetry between these two functions, we need to understand that y=2^x is mirrored over the y-axis to produce y=2^(-x). Therefore, the line of symmetry between these two graphs is the y-axis, which is the line x=0. This is because if you take any point on the graph of y=2^x and reflect it over the y-axis, you'll find a corresponding point on the graph of y=2^(-x).