Solve 5cm^2=mm^2/m

$$5 cm ^ { 2 } = \frac { m m ^ { 2 } } { m }$$

Solve for c

$$c=\frac{1}{5}=0.2$$

$$m\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by m.

$$5cm^{2}m=mm^{2}$$

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

$$5cm^{3}=mm^{2}$$

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

$$5cm^{3}=m^{3}$$

The equation is in standard form.

$$5m^{3}c=m^{3}$$

Divide both sides by 5m^{3}.

$$\frac{5m^{3}c}{5m^{3}}=\frac{m^{3}}{5m^{3}}$$

Dividing by 5m^{3} undoes the multiplication by 5m^{3}.

$$c=\frac{m^{3}}{5m^{3}}$$

Divide m^{3} by 5m^{3}.

$$c=\frac{1}{5}$$

Solve for m

$$m\neq 0$$

$$c = \frac{1}{5} = 0.2$$