Respuesta :

Answer:

[tex]\frac{1}{4x}[/tex]

Step-by-step explanation:

The negative exponential can be represented with the help of fractions. By this way, we also make the negative exponential disappear. For example, we can write:

[tex]a^{-1} = \frac{1}{a}[/tex]

The explanation is this:

Since [tex]a^{0}=1, \frac{1}{a}=\frac{a^{0} }{a^{1} } = a^{0-1} =a^{-1}[/tex]

According to this definition, we can simplify our problem in the following way:

[tex](4x)^{-1} = \frac{1}{(4x)^{1} } = \frac{1}{4x}[/tex]