Simplify i^10i^37i^36

$i^{10} \cdot i^{37} \cdot i^{36}$

Rewrite $i^{10}$ as ${(i^{4})}^{2} i^{2}$ .

Factor out $i^{8}$ .

$i^{8} i^{2} \cdot i^{37} \cdot i^{36}$

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

${(i^{4})}^{2} i^{2} \cdot i^{37} \cdot i^{36}$

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

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

${({(i^{2})}^{2})}^{2} i^{2} \cdot i^{37} \cdot i^{36}$

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

${({(- 1)}^{2})}^{2} i^{2} \cdot i^{37} \cdot i^{36}$

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

$1^{2} i^{2} \cdot i^{37} \cdot i^{36}$

One to any power is one.

$1 i^{2} \cdot i^{37} \cdot i^{36}$

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

$i^{2} \cdot i^{37} \cdot i^{36}$

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

$- 1 \cdot i^{37} \cdot i^{36}$

Rewrite $i^{37}$ as ${(i^{4})}^{9} i$ .

Factor out $i^{36}$ .

$- 1 \cdot (i^{36} i) \cdot i^{36}$

Rewrite $i^{36}$ as ${(i^{4})}^{9}$ .

$- 1 \cdot ({(i^{4})}^{9} i) \cdot i^{36}$

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

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

$- 1 \cdot ({({(i^{2})}^{2})}^{9} i) \cdot i^{36}$

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

$- 1 \cdot ({({(- 1)}^{2})}^{9} i) \cdot i^{36}$

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

$- 1 \cdot (1^{9} i) \cdot i^{36}$

One to any power is one.

$- 1 \cdot (1 i) \cdot i^{36}$

Multiply $i$ by $1$ .

$- 1 \cdot i \cdot i^{36}$

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

$- i \cdot i^{36}$

Rewrite $i^{36}$ as ${(i^{4})}^{9}$ .

$- i \cdot {(i^{4})}^{9}$

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

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

$- i \cdot {({(i^{2})}^{2})}^{9}$

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

$- i \cdot {({(- 1)}^{2})}^{9}$

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

$- i \cdot 1^{9}$

One to any power is one.

$- i \cdot 1$

Multiply $- 1$ by $1$ .

$- i$

Simplify i^10*i^37*i^36

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Simplify i^10i^37i^36