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

Answer:

G

Step-by-step explanation:

Using the rule of exponents

$\frac{a^{m} }{a^{n} }$ = $a^{m-n}$

Consider the left side

$\frac{n^{x} }{n^{y} }$ = $n^{x-y}$, then

$n^{x-y}$ = n²

Since bases on both sides are equal, equate the exponents

x - y = 2 → G