Answer :
Answer:
[tex](5m - \frac{1}{5})^{3}[/tex]
Step-by-step explanation:
We have to write the following expression as a power of a binomial.
The expression is [tex]125m^{3} - 15m^{2} + \frac{3}{5}m - \frac{1}{125}[/tex].
Now, we have to rearrange the given expression.
[tex]125m^{3} - 15m^{2} + \frac{3}{5}m - \frac{1}{125}[/tex]
= [tex](5m)^{3} - 3(5m)^{2}(\frac{1}{5}) + 3(5m)(\frac{1}{5})^{2} - (\frac{1}{5})^{3}[/tex]
= [tex](5m - \frac{1}{5})^{3}[/tex] (Answer)
Since we know the identity as (a - b)³ = a³ - 3a²b + 3ab² - b³.