Answer:
D. [tex]a^{6}[/tex]
Step-by-step explanation:
The volume of the cube is given by the equation [tex]v=a^{3}[/tex]. If each edge of a cube is [tex]a^{2}[/tex] then the volume of the cube is:
[tex]v=(a^{2})^{3}[/tex]
By properties of the power, the power of a power the result is another power that conserves the base and the exponent is the product of the exponents.
[tex]v=(a^{2})^{3}=a^{(2)(3)} =a^{6}[/tex]
