Question

suppose m and n are positive integers and x is a rational number. if
$x ^{m} = x ^{n}$
but m is not equal to n, what are the positive values of x?

​

Answer 1

Given,

m and n are positive integers

x is a rational number

x^m = x^n

m is not equal to n

To find,

what are the positive vaues of x

Solution,

As anything to the power 0 is 1

0^4 = 0^5

where 0 can be the rational number X and 4 and 5 can be integers m and n

So, the only possible answer is 0

The possible positive value of x is 0