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

$$2 ^ { - 2 } + ( \frac { 1 } { 3 } ) ^ { 2 }$$

Evaluate

$$\frac{13}{36}\approx 0.361111111$$

Solution Steps

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

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

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

$$\frac{1}{4}+\frac{1}{9}$$

Add \frac{1}{4} and \frac{1}{9} to get \frac{13}{36}.

$$\frac{13}{36}$$

Factor

$$\frac{13}{2 ^ {2} \cdot 3 ^ {2}} = 0.3611111111111111$$