Solve V(t)=V_{0}*2^-0,2t

$$V ( t ) = V _ { 0 } \cdot 2 ^ { - 0,2 t }$$

Solve for V

$$\left\{\begin{matrix}V=\frac{V_{0}\times 2^{-\frac{t}{5}}}{t}\text{, }&t\neq 0\\V\in \mathrm{R}\text{, }&V_{0}=0\text{ and }t=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$tV=V_{0}\times 2^{-\frac{t}{5}}$$

Divide both sides by t.

$$\frac{tV}{t}=\frac{V_{0}\times 2^{-\frac{t}{5}}}{t}$$

Dividing by t undoes the multiplication by t.

$$V=\frac{V_{0}\times 2^{-\frac{t}{5}}}{t}$$

Solve for V_0

$$V_{0}=Vt\times 2^{\frac{t}{5}}$$

Steps for Solving Linear Equation

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

$$V_{0}\times 2^{-0,2t}=Vt$$

The equation is in standard form.

$$2^{-\frac{t}{5}}V_{0}=Vt$$

Divide both sides by 2^{-0,2t}.

$$\frac{2^{-\frac{t}{5}}V_{0}}{2^{-\frac{t}{5}}}=\frac{Vt}{2^{-\frac{t}{5}}}$$

Dividing by 2^{-0,2t} undoes the multiplication by 2^{-0,2t}.

$$V_{0}=\frac{Vt}{2^{-\frac{t}{5}}}$$

Divide Vt by 2^{-0,2t}.

$$V_{0}=Vt\times 2^{\frac{t}{5}}$$