Solve {left({left(2sqrt{-1}right)}^6right)}^4

$${ \left( { \left(2 \sqrt{ -1 } \right) }^{ 6 } \right) }^{ 4 }$$

Evaluate (complex solution)

$$16777216$$

Solution Steps

Calculate the square root of -1 and get i.

$$\left(\left(2i\right)^{6}\right)^{4}$$

Calculate 2i to the power of 6 and get -64.

$$\left(-64\right)^{4}$$

Calculate -64 to the power of 4 and get 16777216.

$$16777216$$

Real Part (complex solution)

$$16777216$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 6 and 4 to get 24.

$$Re(\left(2\sqrt{-1}\right)^{24})$$

Calculate the square root of -1 and get i.

$$Re(\left(2i\right)^{24})$$

Calculate 2i to the power of 24 and get 16777216.

$$Re(16777216)$$

The real part of 16777216 is 16777216.

$$16777216$$

Evaluate

$$\text{Indeterminate}$$

Factor

$$\text{Indeterminate}$$