Solve r=(1.3*10^-15)sqrt[3]{A}m

$$r = ( 1.3 \times 10 ^ { - 15 } ) \sqrt[ 3 ] { A } m$$

Solve for m

$$\left\{\begin{matrix}m=\frac{10000000000000000r}{13\sqrt[3]{A}}\text{, }&A\neq 0\\m\in \mathrm{R}\text{, }&r=0\text{ and }A=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Calculate 10 to the power of -15 and get \frac{1}{1000000000000000}.

$$r=1.3\times \frac{1}{1000000000000000}\sqrt[3]{A}m$$

Multiply 1.3 and \frac{1}{1000000000000000} to get \frac{13}{10000000000000000}.

$$r=\frac{13}{10000000000000000}\sqrt[3]{A}m$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{13}{10000000000000000}\sqrt[3]{A}m=r$$

The equation is in standard form.

$$\frac{13\sqrt[3]{A}}{10000000000000000}m=r$$

Divide both sides by \frac{13}{10000000000000000}\sqrt[3]{A}.

$$\frac{10000000000000000\times \frac{13\sqrt[3]{A}}{10000000000000000}m}{13\sqrt[3]{A}}=\frac{10000000000000000r}{13\sqrt[3]{A}}$$

Dividing by \frac{13}{10000000000000000}\sqrt[3]{A} undoes the multiplication by \frac{13}{10000000000000000}\sqrt[3]{A}.

$$m=\frac{10000000000000000r}{13\sqrt[3]{A}}$$

Solve for A

$$\left\{\begin{matrix}A=\frac{1000000000000000000000000000000000000000000000000\times \left(\frac{r}{m}\right)^{3}}{2197}\text{, }&m\neq 0\\A\in \mathrm{R}\text{, }&r=0\text{ and }m=0\end{matrix}\right.$$