Pre-Algebra Examples

$i^{41}$

Step 1

Simplify and reorder the polynomial.

Tap for more steps...

Step 1.1

Rewrite $i^{41}$ as ${(i^{4})}^{10} i$ .

Tap for more steps...

Step 1.1.1

Factor out $i^{40}$ .

$i^{40} i$

Step 1.1.2

Rewrite $i^{40}$ as ${(i^{4})}^{10}$ .

${(i^{4})}^{10} i$

Step 1.2

Rewrite $i^{4}$ as $1$ .

Tap for more steps...

Step 1.2.1

Rewrite $i^{4}$ as ${(i^{2})}^{2}$ .

${({(i^{2})}^{2})}^{10} i$

Step 1.2.2

Rewrite $i^{2}$ as $- 1$ .

${({(- 1)}^{2})}^{10} i$

Step 1.2.3

Raise $- 1$ to the power of $2$ .

$1^{10} i$

Step 1.3

One to any power is one.

$1 i$

Step 1.4

Multiply $i$ by $1$ .

$i$

Step 2

The degree cannot be determined because $i$ is not a polynomial.

Not a polynomial