Question

Braiist can someome pls explain i dont know

If n^x/n^y = n^2 for all n does not equal 0, which of the following must be true?

F. x + y = 2
G. x - y = 2
H. x * y = 2
J. x/y = 2
K. sqaure root xy = 2​

Answer 1

G

Explanation:

Using the rule of exponents

`(a^(m) )/(a^(n) )` =
`a^(m-n)`

Consider the left side

`(n^(x) )/(n^(y) )` =
`n^(x-y)`, then

`n^(x-y)` = n²

Since bases on both sides are equal, equate the exponents

x - y = 2 → G