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

Question

asked Oct 2, 2021 172k views

2 Answers

Warvariuc · Answer 1 · 2021-10-04T23:31:33+0000

Answer:

$x=1\\y=1$

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.

Rouzier · Answer 2 · 2021-10-06T05:18:58+0000

Answer:

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