Solve i^2i^6i^5

$${ i }^{ 2 } { i }^{ 6 } { i }^{ 5 }$$

Evaluate

$$i$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 6 to get 8.

$$i^{8}i^{5}$$

To multiply powers of the same base, add their exponents. Add 8 and 5 to get 13.

$$i^{13}$$

Calculate i to the power of 13 and get i.

$$i$$

Real Part

$$0$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 6 to get 8.

$$Re(i^{8}i^{5})$$

To multiply powers of the same base, add their exponents. Add 8 and 5 to get 13.

$$Re(i^{13})$$

Calculate i to the power of 13 and get i.

$$Re(i)$$

The real part of i is 0.

$$0$$