Solve -7+3*(-5+2^-2)-10:(-4+2)

$$- 7 + 3 \cdot ( - 5 + 2 ^ { - 2 } ) - 10 : ( - 4 + 2 )$$

Evaluate

$$-\frac{65}{4}=-16.25$$

Solution Steps

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

$$-7+3\left(-5+\frac{1}{4}\right)-\frac{10}{-4+2}$$

Add -5 and \frac{1}{4} to get -\frac{19}{4}.

$$-7+3\left(-\frac{19}{4}\right)-\frac{10}{-4+2}$$

Multiply 3 and -\frac{19}{4} to get -\frac{57}{4}.

$$-7-\frac{57}{4}-\frac{10}{-4+2}$$

Subtract \frac{57}{4} from -7 to get -\frac{85}{4}.

$$-\frac{85}{4}-\frac{10}{-4+2}$$

Add -4 and 2 to get -2.

$$-\frac{85}{4}-\frac{10}{-2}$$

Divide 10 by -2 to get -5.

$$-\frac{85}{4}-\left(-5\right)$$

The opposite of -5 is 5.

$$-\frac{85}{4}+5$$

Add -\frac{85}{4} and 5 to get -\frac{65}{4}.

$$-\frac{65}{4}$$

Factor

$$-\frac{65}{4} = -16\frac{1}{4} = -16.25$$