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

G

Step-by-step explanation:

Using the rule of exponents

=

Consider the left side

= , then

= n²

Since bases on both sides are equal, equate the exponents

x - y = 2 → G

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step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places