Question

(2/4) is to thepower 2-4 + (4/2) is to the power4-2​

Answer 1

Answer:

There is one very general solution: any two numbers satisfy this equation as long as they're equal. 3 to the power 3 is equal to 3 to the power 3.

There is a second line of solutions though, you have found the pair 4 and 2 on that line. The rest of the line couples any real number larger than one and smaller than e (2.71828…., base of the natural logarithm), to another number between infinity and e. There is one other notable point: the pair e and e is the crossover between the two solution lines. I give some other numbers here below, from that you can easily see there is no other pair of natural numbers. Whether there is any other pair of rational numbers I will leave to a mathematician.

Step-by-step explanation: