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

`x=1\\y=1`

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.

Answer 2

x and y can both equal 1

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