Solve -0,4^2-16/5,4(-0,4-4)

$$\frac { - 0,4 ^ { 2 } - 16 } { 5,4 ( - 0,4 - 4 ) }$$

Evaluate

$$\frac{200}{297}\approx 0,673400673$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$\frac{0\times 16-16}{5,4\left(-0,4-4\right)}$$

Multiply 0 and 16 to get 0.

$$\frac{0-16}{5,4\left(-0,4-4\right)}$$

Subtract 16 from 0 to get -16.

$$\frac{-16}{5,4\left(-0,4-4\right)}$$

Subtract 4 from -0,4 to get -4,4.

$$\frac{-16}{5,4\left(-4,4\right)}$$

Multiply 5,4 and -4,4 to get -23,76.

$$\frac{-16}{-23,76}$$

Expand \frac{-16}{-23,76} by multiplying both numerator and the denominator by 100.

$$\frac{-1600}{-2376}$$

Reduce the fraction \frac{-1600}{-2376} to lowest terms by extracting and canceling out -8.

$$\frac{200}{297}$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2}}{11 \cdot 3 ^ {3}} = 0.6734006734006734$$