Solve {left(6/-2right)}^2+{left(-5/4right)}^2-16=

$${ \left( \frac{ 6 }{ -2 } \right) }^{ 2 } + { \left(- \frac{ 5 }{ 4 } \right) }^{ 2 } -16=$$

Evaluate

$$-\frac{87}{16}=-5.4375$$

Solution Steps

Divide 6 by -2 to get -3.

$$\left(-3\right)^{2}+\left(-\frac{5}{4}\right)^{2}-16$$

Calculate -3 to the power of 2 and get 9.

$$9+\left(-\frac{5}{4}\right)^{2}-16$$

Calculate -\frac{5}{4} to the power of 2 and get \frac{25}{16}.

$$9+\frac{25}{16}-16$$

Add 9 and \frac{25}{16} to get \frac{169}{16}.

$$\frac{169}{16}-16$$

Subtract 16 from \frac{169}{16} to get -\frac{87}{16}.

$$-\frac{87}{16}$$

Factor

$$-\frac{87}{16} = -5\frac{7}{16} = -5.4375$$