Solve (-1/2i3)*(-3/2i-7/2)

$$( - \frac { 1 } { 2 } i 3 ) \times ( - \frac { 3 } { 2 } i \frac { - 7 } { 2 } )$$

Evaluate

$$\frac{63}{8}=7.875$$

Solution Steps

Multiply -\frac{1}{2}i and 3 to get -\frac{3}{2}i.

$$-\frac{3}{2}i\times \left(-\frac{3}{2}i\right)\times \frac{-7}{2}$$

Multiply -\frac{3}{2}i and -\frac{3}{2}i to get -\frac{9}{4}.

$$-\frac{9}{4}\times \frac{-7}{2}$$

Fraction \frac{-7}{2} can be rewritten as -\frac{7}{2} by extracting the negative sign.

$$-\frac{9}{4}\left(-\frac{7}{2}\right)$$

Multiply -\frac{9}{4} times -\frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-9\left(-7\right)}{4\times 2}$$

Do the multiplications in the fraction \frac{-9\left(-7\right)}{4\times 2}.

$$\frac{63}{8}$$

Real Part

$$\frac{63}{8} = 7\frac{7}{8} = 7.875$$

Solution Steps

Multiply -\frac{1}{2}i and 3 to get -\frac{3}{2}i.

$$Re(-\frac{3}{2}i\times \left(-\frac{3}{2}i\right)\times \frac{-7}{2})$$

Multiply -\frac{3}{2}i and -\frac{3}{2}i to get -\frac{9}{4}.

$$Re(-\frac{9}{4}\times \frac{-7}{2})$$

Fraction \frac{-7}{2} can be rewritten as -\frac{7}{2} by extracting the negative sign.

$$Re(-\frac{9}{4}\left(-\frac{7}{2}\right))$$

Multiply -\frac{9}{4} times -\frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$Re(\frac{-9\left(-7\right)}{4\times 2})$$

Do the multiplications in the fraction \frac{-9\left(-7\right)}{4\times 2}.

$$Re(\frac{63}{8})$$

The real part of \frac{63}{8} is \frac{63}{8}.

$$\frac{63}{8}$$