Solve -1^3(1+7/2)--5^2

$${ -1 }^{ 3 } (1+ \frac{ 7 }{ 2 } )- { -5 }^{ 2 }$$

Evaluate

$$-\frac{59}{2}=-29.5$$

Solution Steps

Calculate -1 to the power of 3 and get -1.

$$-\left(1+\frac{7}{2}\right)-\left(-5\right)^{2}$$

Convert 1 to fraction \frac{2}{2}.

$$-\left(\frac{2}{2}+\frac{7}{2}\right)-\left(-5\right)^{2}$$

Since \frac{2}{2} and \frac{7}{2} have the same denominator, add them by adding their numerators.

$$-\frac{2+7}{2}-\left(-5\right)^{2}$$

Add 2 and 7 to get 9.

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

Calculate -5 to the power of 2 and get 25.

$$-\frac{9}{2}-25$$

Convert 25 to fraction \frac{50}{2}.

$$-\frac{9}{2}-\frac{50}{2}$$

Since -\frac{9}{2} and \frac{50}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-9-50}{2}$$

Subtract 50 from -9 to get -59.

$$-\frac{59}{2}$$

Factor

$$-\frac{59}{2} = -29\frac{1}{2} = -29.5$$