Respuesta :

Answer:

The expression that is equivalent to the given expression is:

                       [tex]g^{-m-n}[/tex]

Step-by-step explanation:

Two expression are said to be equivalent if by some simplification i.e. by some multiplication or division it could be represented in the same manner.

Here we are given a expression as:

                    g^{-m} ÷ g^n i.e.

             [tex]\dfrac{g^{-m}}{g^n}[/tex]

We know that:

[tex]\dfrac{a^m}{a^n}=a^{m-n}[/tex]

                 Hence, we get:

[tex]\dfrac{g^{-m}}{g^n}=g^{-m-n}[/tex]

The answer would be G=m-n