Respuesta :

In exponential form it is given as, 8⁻³ = [tex]$\frac{1}{512}[/tex]

Step-by-step explanation:

We have to write the given equation in the exponential form, that is in the form of base to the power value.

Given:

log₈ ([tex]$\frac{1}{512}[/tex] ) = -3

Here the base is 8.

In the exponential form, it is written as,

base to the power 3 = 512

Here the reciprocal of 512 is given, so,

base to the power -3 =   [tex]$\frac{1}{512}[/tex]

So the exponential form is given as, 8⁻³ = [tex]$\frac{1}{512}[/tex]