Solucionar {left(3/2*1/4+1/5*10/3right)}^2+1=

$${ \left( \frac{ 3 }{ 2 } \times \frac{ 1 }{ 4 } + \frac{ 1 }{ 5 } \times \frac{ 10 }{ 3 } \right) }^{ 2 } +1=$$

Calcular

$$\frac{1201}{576}\approx 2,085069444$$

Pasos de la solución

Multiplica \frac{3}{2} y \frac{1}{4} para obtener \frac{3}{8}.

$$\left(\frac{3}{8}+\frac{1}{5}\times \frac{10}{3}\right)^{2}+1$$

Multiplica \frac{1}{5} y \frac{10}{3} para obtener \frac{2}{3}.

$$\left(\frac{3}{8}+\frac{2}{3}\right)^{2}+1$$

Suma \frac{3}{8} y \frac{2}{3} para obtener \frac{25}{24}.

$$\left(\frac{25}{24}\right)^{2}+1$$

Calcula \frac{25}{24} a la potencia de 2 y obtiene \frac{625}{576}.

$$\frac{625}{576}+1$$

Suma \frac{625}{576} y 1 para obtener \frac{1201}{576}.

$$\frac{1201}{576}$$

Factorizar

$$\frac{1201}{2 ^ {6} \cdot 3 ^ {2}} = 2\frac{49}{576} = 2,0850694444444446$$