Simplify i^-11 - Math solver

$i^{- 11}$

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{i^{11}}$

Simplify the denominator.

Tap for more steps…

Rewrite $i^{11}$ as ${(i^{4})}^{2} (i^{2} \cdot i)$ .

Tap for more steps…

Factor out $i^{8}$ .

$\frac{1}{i^{8} i^{3}}$

Rewrite $i^{8}$ as ${(i^{4})}^{2}$ .

$\frac{1}{{(i^{4})}^{2} i^{3}}$

Factor out $i^{2}$ .

$\frac{1}{{(i^{4})}^{2} (i^{2} \cdot i)}$

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

Tap for more steps…

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

$\frac{1}{{({(i^{2})}^{2})}^{2} (i^{2} \cdot i)}$

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

$\frac{1}{{({(- 1)}^{2})}^{2} (i^{2} \cdot i)}$

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

$\frac{1}{1^{2} (i^{2} \cdot i)}$

One to any power is one.

$\frac{1}{1 (i^{2} \cdot i)}$

Multiply $i^{2} \cdot i$ by $1$ .

$\frac{1}{i^{2} \cdot i}$

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

$\frac{1}{- 1 \cdot i}$

Rewrite $- 1 i$ as $- i$ .

$\frac{1}{- i}$

Cancel the common factor of $1$ and $- 1$ .

Tap for more steps…

Rewrite $1$ as $- 1 (- 1)$ .

$\frac{- 1 (- 1)}{- i}$

Move the negative in front of the fraction.

$- \frac{1}{i}$

Simplify i^-11

Need help with MATH HOMEWORK