Answer:
[tex]a=-9[/tex]
Step-by-step explanation:
We begin with [tex](0.125)^3[/tex]
First, we can convert this decimal into a fraction
[tex](\frac{1}{8} )^3[/tex]
Now, we can simplify the denominator of the fraction
[tex](\frac{1}{2^{3} } )^3[/tex]
Next, we can remove the fraction by rewriting the fraction with a negative power.
[tex](2^{-3} )^3[/tex]
Lastly, we can remove the parenthesis by multiplying the powers together.
[tex]2^{-9}[/tex]
This means that [tex]a=-9[/tex]
