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]