The simplified form of the given equation is 3^a = 3^(-5). The value of a is -5.
Simplification is defined as reducing an equation or a fraction to a simpler form by cancellation of common factors or regrouping of terms in the same variable.
Given equation is,
[tex]\dfrac {3^{-1}}{3^4} = 3^a[/tex]
We use the power rule to simplify the above equation. For the same base,
[tex]3^a = 3 ^ {(-1-4)}[/tex]
[tex]3^a = 3^{-5}[/tex]
Now the base is the same for both sides of the equation, then,
[tex]a = -5[/tex]
Hence we can conclude that the value of a is -5.
To know more about the simplification and power rule, follow the ;link given below.
https://brainly.com/question/8959311.
