Answer:
[tex]64c^{6}[/tex]
Step-by-step explanation:
We know that [tex](a*b)^{m}=a^{m} *b^{m}[/tex]
Given [tex](4c^{2})^{3}[/tex]
Here a=4 and b=[tex]c^{2}[/tex]
Using the above property we get
[tex](4c^{2})^{3}[/tex] = [tex]4^{3}*(c^{2})^{3}[/tex]
We know that [tex](a^{m})^{n}=a^{mn}[/tex]
using the above property we get
[tex](4c^{2})^{3}[/tex] =[tex]64*c^{6}[/tex]=[tex]64c^{6}[/tex]