Question

Which expression is equivalent to g−m ÷ gn?  g−m + n g−m ⋅ n  g−m − n g−m ÷ n

Answer 1

The answer would be G=m-n

Answer 2

Answer:

The expression that is equivalent to the given expression is:

                       $g^{-m-n}$

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.

             $\dfrac{g^{-m}}{g^n}$

We know that:

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

                 Hence, we get:

$\dfrac{g^{-m}}{g^n}=g^{-m-n}$