Solve 1/5quadtext{(ii)}5/8quadtext{(iii)}1/4

$$\frac { 1 } { 5 } \quad \text { (ii) } \frac { 5 } { 8 } \quad \text { (iii) } \frac { 1 } { 4 }$$

Evaluate

$$\frac{1}{32}i=0.03125i$$

Solution Steps

Multiply \frac{1}{5}i and \frac{5}{8}i to get -\frac{1}{8}.

$$-\frac{1}{8}i\times \left(\frac{1}{4}i\right)$$

Multiply -\frac{1}{8}i and \frac{1}{4}i to get \frac{1}{32}.

$$\frac{1}{32}$$

Real Part

$$0$$

Solution Steps

Multiply \frac{1}{5}i and \frac{5}{8}i to get -\frac{1}{8}.

$$Re(-\frac{1}{8}i\times \left(\frac{1}{4}i\right))$$

Multiply -\frac{1}{8}i and \frac{1}{4}i to get \frac{1}{32}.

$$Re(\frac{1}{32})$$

The real part of \frac{1}{32} is \frac{1}{32}.

$$\frac{1}{32}$$