Solve for C s^3=(km^2C)/(AJ)

$s^{3} = \frac{{km}^{2} C}{A J}$

Step 1

Rewrite the equation as $\frac{{km}^{2} C}{A J} = s^{3}$ .

$\frac{{km}^{2} C}{A J} = s^{3}$

Step 2

Multiply both sides by $A J$ .

$\frac{{km}^{2} C}{A J} (A J) = s^{3} (A J)$

Step 3

Simplify.

Simplify the left side.

Cancel the common factor of $A J$ .

Cancel the common factor.

$\frac{{km}^{2} C}{A J} (A J) = s^{3} (A J)$

Rewrite the expression.

${km}^{2} C = s^{3} (A J)$

Simplify the right side.

Remove parentheses.

${km}^{2} C = s^{3} A J$

Step 4

Divide each term in ${km}^{2} C = s^{3} A J$ by ${km}^{2}$ and simplify.

Divide each term in ${km}^{2} C = s^{3} A J$ by ${km}^{2}$ .

$\frac{{km}^{2} C}{{km}^{2}} = \frac{s^{3} A J}{{km}^{2}}$

Simplify the left side.

Cancel the common factor of ${km}^{2}$ .

Cancel the common factor.

$\frac{{km}^{2} C}{{km}^{2}} = \frac{s^{3} A J}{{km}^{2}}$

Divide $C$ by $1$ .

$C = \frac{s^{3} A J}{{km}^{2}}$

Step 5

Rewrite the expression.

$C = s^{3} A J \frac{1}{{km}^{2}}$