Solve Ar^n=B

$$A r ^ { n } = B$$

Solve for A (complex solution)

$$\left\{\begin{matrix}A=\frac{B}{r^{n}}\text{, }&n=0\text{ or }r\neq 0\\A\in \mathrm{C}\text{, }&B=0\text{ and }r=0\text{ and }n\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$r^{n}A=B$$

Divide both sides by r^{n}.

$$\frac{r^{n}A}{r^{n}}=\frac{B}{r^{n}}$$

Dividing by r^{n} undoes the multiplication by r^{n}.

$$A=\frac{B}{r^{n}}$$

Solve for A

$$\left\{\begin{matrix}A=\frac{B}{r^{n}}\text{, }&r>0\text{ or }\left(Denominator(n)\text{bmod}2=1\text{ and }r<0\right)\\A\in \mathrm{R}\text{, }&B=0\text{ and }r=0\text{ and }n>0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$r^{n}A=B$$

Divide both sides by r^{n}.

$$\frac{r^{n}A}{r^{n}}=\frac{B}{r^{n}}$$

Dividing by r^{n} undoes the multiplication by r^{n}.

$$A=\frac{B}{r^{n}}$$

Solve for B (complex solution)

$$B=Ar^{n}$$

Solve for B

$$B=Ar^{n}$$

$$\left(r<0\text{ and }Denominator(n)\text{bmod}2=1\right)\text{ or }\left(r=0\text{ and }n>0\right)\text{ or }r>0$$