Solve -4i^7/24i^9

$$\frac { - 4 i ^ { 7 } } { 24 i ^ { 9 } }$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Cancel out 4i^{7} in both numerator and denominator.

$$\frac{-1}{6i^{2}}$$

Calculate i to the power of 2 and get -1.

$$\frac{-1}{6\left(-1\right)}$$

Multiply 6 and -1 to get -6.

$$\frac{-1}{-6}$$

Fraction \frac{-1}{-6} can be simplified to \frac{1}{6} by removing the negative sign from both the numerator and the denominator.

$$\frac{1}{6}$$

Real Part

$$\frac{1}{6} = 0.16666666666666666$$

Solution Steps

Cancel out 4i^{7} in both numerator and denominator.

$$Re(\frac{-1}{6i^{2}})$$

Calculate i to the power of 2 and get -1.

$$Re(\frac{-1}{6\left(-1\right)})$$

Multiply 6 and -1 to get -6.

$$Re(\frac{-1}{-6})$$

Fraction \frac{-1}{-6} can be simplified to \frac{1}{6} by removing the negative sign from both the numerator and the denominator.

$$Re(\frac{1}{6})$$

The real part of \frac{1}{6} is \frac{1}{6}.

$$\frac{1}{6}$$