Answer:
[tex]V=27c^{18}d^{6}\ units^3[/tex]
Step-by-step explanation:
The complete question in the attached figure
we know that
The volume of a cube is equal to
[tex]V=b^3[/tex]
where b is the length side of a cube
In this problem we have
[tex]b=3c^{6}d^{2}[/tex]
substitute in the formula
[tex]V=(3c^{6}d^{2})^3[/tex]
[tex]V=(3)^{3}(c^{6})^{3}(d^{2})^{3}[/tex] -----> by power of a product
[tex]V=(3)^{3}(c^{6*3})(d^{2*3})[/tex] ----> by power of a power
Simplify
[tex]V=27c^{18}d^{6}\ units^3[/tex]
