Solve 2^2+(1/3)^2+(1/4)^-4

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

Evaluate

$$\frac{2341}{9}\approx 260.111111111$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

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

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

$$4+\frac{1}{9}+\left(\frac{1}{4}\right)^{-4}$$

Add 4 and \frac{1}{9} to get \frac{37}{9}.

$$\frac{37}{9}+\left(\frac{1}{4}\right)^{-4}$$

Calculate \frac{1}{4} to the power of -4 and get 256.

$$\frac{37}{9}+256$$

Add \frac{37}{9} and 256 to get \frac{2341}{9}.

$$\frac{2341}{9}$$

Factor

$$\frac{2341}{3 ^ {2}} = 260\frac{1}{9} = 260.1111111111111$$