Solve 2^2+2^0/(frac{1{2})^-2-5(-4)^2}

$$\frac { 2 ^ { 2 } + 2 ^ { 0 } } { ( \frac { 1 } { 2 } ) ^ { - 2 } - 5 ( - 4 ) ^ { 2 } }$$

Evaluate

$$-\frac{5}{76}\approx -0.065789474$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\frac{4+2^{0}}{\left(\frac{1}{2}\right)^{-2}-5\left(-4\right)^{2}}$$

Calculate 2 to the power of 0 and get 1.

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

Add 4 and 1 to get 5.

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

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

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

Calculate -4 to the power of 2 and get 16.

$$\frac{5}{4-5\times 16}$$

Multiply 5 and 16 to get 80.

$$\frac{5}{4-80}$$

Subtract 80 from 4 to get -76.

$$\frac{5}{-76}$$

Fraction \frac{5}{-76} can be rewritten as -\frac{5}{76} by extracting the negative sign.

$$-\frac{5}{76}$$

Factor

$$-\frac{5}{76} = -0.06578947368421052$$