Question

1. There are two whole numbers x and y, such that x raised to power of y is equal to y raised to the power of x. Find the values of x and y​

Answer 1

Answer:

x and y can both equal 1

Step-by-step explanation:

Since we have:

$x^y=y^x$

And we know that they equal each other, 1 should be the best answer.

1¹ = 1¹

1 = 1

Answer 2

Answer:

$x=1\\y=1$

Step-by-step explanation:

$x^y=y^x$

When we input x as 1, and y as 1 we can see that they are equal.

$1^1=1^1$

$1=1$

When we input x as 2, and y as 2 we can see that they are also equal.

$2^2=2^2$

$4=4$

When we input x as -1, and y as -1 we can see that they are also equal.

$\left(-1\right)^{-1}=\left(-1\right)^{-1}$

$-1=-1$

When we input x and y as 0 it is also equal.