Solve 14+28+(3/4)^2+(1/4)^-2

$$14 + 28 + ( \frac { 3 } { 4 } ) ^ { 2 } + ( \frac { 1 } { 4 } ) ^ { - 2 }$$

Evaluate

$$\frac{937}{16}=58.5625$$

Solution Steps

Add 14 and 28 to get 42.

$$42+\left(\frac{3}{4}\right)^{2}+\left(\frac{1}{4}\right)^{-2}$$

Calculate \frac{3}{4} to the power of 2 and get \frac{9}{16}.

$$42+\frac{9}{16}+\left(\frac{1}{4}\right)^{-2}$$

Add 42 and \frac{9}{16} to get \frac{681}{16}.

$$\frac{681}{16}+\left(\frac{1}{4}\right)^{-2}$$

Calculate \frac{1}{4} to the power of -2 and get 16.

$$\frac{681}{16}+16$$

Add \frac{681}{16} and 16 to get \frac{937}{16}.

$$\frac{937}{16}$$

Factor

$$\frac{937}{2 ^ {4}} = 58\frac{9}{16} = 58.5625$$