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

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

Evaluate

$$-\frac{259}{2}=-129.5$$

Solution Steps

Calculate -5 to the power of 3 and get -125.

$$\frac{-125}{-2}+3\left(-4^{3}\right)$$

Fraction \frac{-125}{-2} can be simplified to \frac{125}{2} by removing the negative sign from both the numerator and the denominator.

$$\frac{125}{2}+3\left(-4^{3}\right)$$

Calculate 4 to the power of 3 and get 64.

$$\frac{125}{2}+3\left(-64\right)$$

Multiply 3 and -64 to get -192.

$$\frac{125}{2}-192$$

Convert 192 to fraction \frac{384}{2}.

$$\frac{125}{2}-\frac{384}{2}$$

Since \frac{125}{2} and \frac{384}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{125-384}{2}$$

Subtract 384 from 125 to get -259.

$$-\frac{259}{2}$$

Factor

$$-\frac{259}{2} = -129\frac{1}{2} = -129.5$$