Solve (1,2)^-2+(1/3)^-2+(1,14)^-2

$$( 1,2 ) ^ { - 2 } + ( 1 / 3 ) ^ { - 2 } + ( 1,14 ) ^ { - 2 }$$

Evaluate

$$\frac{135989}{12996}\approx 10,463911973$$

Solution Steps

Calculate 1,2 to the power of -2 and get \frac{25}{36}.

$$\frac{25}{36}+\left(\frac{1}{3}\right)^{-2}+1,14^{-2}$$

Calculate \frac{1}{3} to the power of -2 and get 9.

$$\frac{25}{36}+9+1,14^{-2}$$

Add \frac{25}{36} and 9 to get \frac{349}{36}.

$$\frac{349}{36}+1,14^{-2}$$

Calculate 1,14 to the power of -2 and get \frac{2500}{3249}.

$$\frac{349}{36}+\frac{2500}{3249}$$

Add \frac{349}{36} and \frac{2500}{3249} to get \frac{135989}{12996}.

$$\frac{135989}{12996}$$

Factor

$$\frac{7 \cdot 19427}{2 ^ {2} \cdot 3 ^ {2} \cdot 19 ^ {2}} = 10\frac{6029}{12996} = 10.463911972914744$$