Solve (-21/2)*(-0.5)^3*(-2)^2*(-8)

$$( - 2 \frac { 1 } { 2 } ) \times ( - 0.5 ) ^ { 3 } \times ( - 2 ) ^ { 2 } \times ( - 8 )$$

Evaluate

$$-10$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\left(-\frac{4+1}{2}\right)\left(-0.5\right)^{3}\left(-2\right)^{2}\left(-8\right)$$

Add 4 and 1 to get 5.

$$-\frac{5}{2}\left(-0.5\right)^{3}\left(-2\right)^{2}\left(-8\right)$$

Calculate -0.5 to the power of 3 and get -0.125.

$$-\frac{5}{2}\left(-0.125\right)\left(-2\right)^{2}\left(-8\right)$$

Convert decimal number -0.125 to fraction -\frac{125}{1000}. Reduce the fraction -\frac{125}{1000} to lowest terms by extracting and canceling out 125.

$$-\frac{5}{2}\left(-\frac{1}{8}\right)\left(-2\right)^{2}\left(-8\right)$$

Multiply -\frac{5}{2} times -\frac{1}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\left(-1\right)}{2\times 8}\left(-2\right)^{2}\left(-8\right)$$

Do the multiplications in the fraction \frac{-5\left(-1\right)}{2\times 8}.

$$\frac{5}{16}\left(-2\right)^{2}\left(-8\right)$$

Calculate -2 to the power of 2 and get 4.

$$\frac{5}{16}\times 4\left(-8\right)$$

Express \frac{5}{16}\times 4 as a single fraction.

$$\frac{5\times 4}{16}\left(-8\right)$$

Multiply 5 and 4 to get 20.

$$\frac{20}{16}\left(-8\right)$$

Reduce the fraction \frac{20}{16} to lowest terms by extracting and canceling out 4.

$$\frac{5}{4}\left(-8\right)$$

Express \frac{5}{4}\left(-8\right) as a single fraction.

$$\frac{5\left(-8\right)}{4}$$

Multiply 5 and -8 to get -40.

$$\frac{-40}{4}$$

Divide -40 by 4 to get -10.

$$-10$$

Factor

$$-10$$