Solve -1/2*{left(5.6-(-0.04)/0.41right)}^2

$$- \frac{ 1 }{ 2 } \times { \left( \frac{ 5.6-(-0.04) }{ 0.41 } \right) }^{ 2 }$$

Evaluate

$$-\frac{159048}{1681}\approx -94.615110054$$

Solution Steps

The opposite of -0.04 is 0.04.

$$-\frac{1}{2}\times \left(\frac{5.6+0.04}{0.41}\right)^{2}$$

Add 5.6 and 0.04 to get 5.64.

$$-\frac{1}{2}\times \left(\frac{5.64}{0.41}\right)^{2}$$

Expand \frac{5.64}{0.41} by multiplying both numerator and the denominator by 100.

$$-\frac{1}{2}\times \left(\frac{564}{41}\right)^{2}$$

Calculate \frac{564}{41} to the power of 2 and get \frac{318096}{1681}.

$$-\frac{1}{2}\times \frac{318096}{1681}$$

Multiply -\frac{1}{2} and \frac{318096}{1681} to get -\frac{159048}{1681}.

$$-\frac{159048}{1681}$$

Factor

$$-\frac{159048}{1681} = -94\frac{1034}{1681} = -94.61511005353955$$