Question

How to express volume of a cube as a monomial

Answer 1

Answer:

$V=27c^{18}d^{6}\ units^3$

Step-by-step explanation:

The complete question in the attached figure

we know that

The volume of a cube is equal to

$V=b^3$

where b is the length side of a cube

In this problem we have

$b=3c^{6}d^{2}$

substitute in the formula

$V=(3c^{6}d^{2})^3$

$V=(3)^{3}(c^{6})^{3}(d^{2})^{3}$ -----> by power of a product

$V=(3)^{3}(c^{6*3})(d^{2*3})$ ----> by power of a power

Simplify

$V=27c^{18}d^{6}\ units^3$