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

The expression that is equivalent to the given expression is:

`g^(-m-n)`

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.

`(g^(-m))/(g^n)`

We know that:

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

Hence, we get:

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