Solve ((i)^2)^3

$$( ( i ) ^ { 2 } ) ^ { 3 }$$

Evaluate

$$-1$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\left(i^{2}\right)^{3}$$

To raise a power to another power, multiply the exponents.

$$i^{2\times 3}$$

Multiply 2 times 3.

$$i^{6}$$

Raise i to the power 6.

$$-1$$

Real Part

$$-1$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.

$$Re(i^{6})$$

Calculate i to the power of 6 and get -1.

$$Re(-1)$$

The real part of -1 is -1.

$$-1$$