Solve 22500000=x*y^z

$$22500000=x \times { y }^{ z }$$

Solve for x (complex solution)

$$x=\frac{22500000}{y^{z}}$$

$$z=0\text{ or }y\neq 0$$

Steps for Solving Linear Equation

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

$$xy^{z}=22500000$$

The equation is in standard form.

$$y^{z}x=22500000$$

Divide both sides by y^{z}.

$$\frac{y^{z}x}{y^{z}}=\frac{22500000}{y^{z}}$$

Dividing by y^{z} undoes the multiplication by y^{z}.

$$x=\frac{22500000}{y^{z}}$$

Solve for x

$$x=\frac{22500000}{y^{z}}$$

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

Steps for Solving Linear Equation

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

$$xy^{z}=22500000$$

The equation is in standard form.

$$y^{z}x=22500000$$

Divide both sides by y^{z}.

$$\frac{y^{z}x}{y^{z}}=\frac{22500000}{y^{z}}$$

Dividing by y^{z} undoes the multiplication by y^{z}.

$$x=\frac{22500000}{y^{z}}$$

Solve for y (complex solution)

$$y=e^{-\frac{2\pi n_{1}iRe(z)}{\left(Re(z)\right)^{2}+\left(Im(z)\right)^{2}}-\frac{2\pi n_{1}Im(z)}{\left(Re(z)\right)^{2}+\left(Im(z)\right)^{2}}+\frac{arg(\frac{1}{x})Im(z)+iarg(\frac{1}{x})Re(z)}{\left(Re(z)\right)^{2}+\left(Im(z)\right)^{2}}}\times \left(\frac{22500000}{|x|}\right)^{\frac{Re(z)-iIm(z)}{\left(Re(z)\right)^{2}+\left(Im(z)\right)^{2}}}$$

$$n_{1}\in \mathrm{Z}$$

$$x\neq 0$$

Solve for y

$$\left\{\begin{matrix}y=\left(\frac{22500000}{x}\right)^{\frac{1}{z}}\text{, }&\left(Numerator(z)\text{bmod}2=1\text{ and }Denominator(z)\text{bmod}2=1\text{ and }\left(\frac{22500000}{x}\right)^{\frac{1}{z}}\neq 0\text{ and }x<0\right)\text{ or }\left(\left(\frac{22500000}{x}\right)^{\frac{1}{z}}>0\text{ and }z\neq 0\text{ and }x>0\right)\text{ or }\left(\left(\frac{22500000}{x}\right)^{\frac{1}{z}}<0\text{ and }z\neq 0\text{ and }Denominator(z)\text{bmod}2=1\text{ and }x>0\right)\\y=-\left(\frac{22500000}{x}\right)^{\frac{1}{z}}\text{, }&\left(x<0\text{ and }Numerator(z)\text{bmod}2=1\text{ and }Numerator(z)\text{bmod}2=0\text{ and }Denominator(z)\text{bmod}2=1\text{ and }\left(\frac{22500000}{x}\right)^{\frac{1}{z}}\neq 0\right)\text{ or }\left(x>0\text{ and }z\neq 0\text{ and }\left(\frac{22500000}{x}\right)^{\frac{1}{z}}<0\text{ and }Numerator(z)\text{bmod}2=0\right)\text{ or }\left(x>0\text{ and }z\neq 0\text{ and }\left(\frac{22500000}{x}\right)^{\frac{1}{z}}>0\text{ and }Numerator(z)\text{bmod}2=0\text{ and }Denominator(z)\text{bmod}2=1\right)\\y\neq 0\text{, }&x=22500000\text{ and }z=0\end{matrix}\right.$$