Solve =(l*l*l)cm^3=l^3

$$= ( l \times l \times l ) cm ^ { 3 } = l ^ { 3 }$$

Solve for c

$$\left\{\begin{matrix}c=\frac{1}{m^{3}}\text{, }&m\neq 0\\c\in \mathrm{R}\text{, }&l=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply l and l to get l^{2}.

$$l^{2}lcm^{3}=l^{3}$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$l^{3}cm^{3}=l^{3}$$

The equation is in standard form.

$$l^{3}m^{3}c=l^{3}$$

Divide both sides by l^{3}m^{3}.

$$\frac{l^{3}m^{3}c}{l^{3}m^{3}}=\frac{l^{3}}{l^{3}m^{3}}$$

Dividing by l^{3}m^{3} undoes the multiplication by l^{3}m^{3}.

$$c=\frac{l^{3}}{l^{3}m^{3}}$$

Divide l^{3} by l^{3}m^{3}.

$$c=\frac{1}{m^{3}}$$

Solve for l

$$\left\{\begin{matrix}\\l=0\text{, }&\text{unconditionally}\\l\in \mathrm{R}\text{, }&c=\frac{1}{m^{3}}\text{ and }m\neq 0\end{matrix}\right.$$