Remember that
The volume of a cube is equal to
[tex]V=b^3[/tex]
where b is the long side of the cube
so
Part 19
we have that
[tex]b=7c^6d^2[/tex]
substitute in the formula
[tex]V=(7c^6d^2)^3[/tex]
Applying property of exponents
[tex]\begin{gathered} V=(7^3)(c^{(6\cdot3)})(d^{(2\cdot3)}) \\ V=342c^{(18)}d^6 \end{gathered}[/tex]
Part 20
we have
[tex]b=6r^7s^8[/tex]
substitute in the formula
[tex]\begin{gathered} V=(6r^7s^8)^3 \\ V=216r^{(21)}s^{(24)} \end{gathered}[/tex]
