Solve {left(12/3right)}^-2+{left(4/5right)}^2+2^-2

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

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

Multiply 1 and 3 to get 3.

$$\left(\frac{3+2}{3}\right)^{-2}+\left(\frac{4}{5}\right)^{2}+2^{-2}$$

Add 3 and 2 to get 5.

$$\left(\frac{5}{3}\right)^{-2}+\left(\frac{4}{5}\right)^{2}+2^{-2}$$

Calculate \frac{5}{3} to the power of -2 and get \frac{9}{25}.

$$\frac{9}{25}+\left(\frac{4}{5}\right)^{2}+2^{-2}$$

Calculate \frac{4}{5} to the power of 2 and get \frac{16}{25}.

$$\frac{9}{25}+\frac{16}{25}+2^{-2}$$

Add \frac{9}{25} and \frac{16}{25} to get 1.

$$1+2^{-2}$$

Calculate 2 to the power of -2 and get \frac{1}{4}.

$$1+\frac{1}{4}$$

Add 1 and \frac{1}{4} to get \frac{5}{4}.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$