Solve (1+0,01/12)^12/3=x

$$( 1 + \frac { 0,01 } { 12 } ) ^ { 12 / 3 } = x$$

Solve for x

$$x=\frac{2080520644801}{2073600000000}\approx 1,003337502$$

Steps for Solving Linear Equation

Expand \frac{0,01}{12} by multiplying both numerator and the denominator by 100.

$$\left(1+\frac{1}{1200}\right)^{\frac{12}{3}}=x$$

Add 1 and \frac{1}{1200} to get \frac{1201}{1200}.

$$\left(\frac{1201}{1200}\right)^{\frac{12}{3}}=x$$

Divide 12 by 3 to get 4.

$$\left(\frac{1201}{1200}\right)^{4}=x$$

Calculate \frac{1201}{1200} to the power of 4 and get \frac{2080520644801}{2073600000000}.

$$\frac{2080520644801}{2073600000000}=x$$

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

$$x=\frac{2080520644801}{2073600000000}$$