Solve (5-i)/[(2+1)^2]^2

$$\frac { ( 5 - i ) } { [ ( 2 + 1 ) ^ { 2 } ] ^ { 2 } }$$

Real Part

$$\frac{5}{81} = 0.06172839506172839$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$Re(\frac{5-i}{\left(2+1\right)^{4}})$$

Add 2 and 1 to get 3.

$$Re(\frac{5-i}{3^{4}})$$

Calculate 3 to the power of 4 and get 81.

$$Re(\frac{5-i}{81})$$

Divide 5-i by 81 to get \frac{5}{81}-\frac{1}{81}i.

$$Re(\frac{5}{81}-\frac{1}{81}i)$$

The real part of \frac{5}{81}-\frac{1}{81}i is \frac{5}{81}.

$$\frac{5}{81}$$

Evaluate

$$\frac{5}{81}-\frac{1}{81}i\approx 0.061728395-0.012345679i$$