Simplify ch_3ch_2ch_2ch_3

$c h_{3} c h_{2} c h_{2} c h_{3}$

Step 1

Multiply $c$ by $c$ by adding the exponents.

Move $c$ .

$c \cdot c h_{3} h_{2} c h_{2} c h_{3}$

Multiply $c$ by $c$ .

$c^{2} h_{3} h_{2} c h_{2} c h_{3}$

Step 2

Multiply $c^{2}$ by $c$ by adding the exponents.

Move $c$ .

$c \cdot c^{2} h_{3} h_{2} h_{2} c h_{3}$

Multiply $c$ by $c^{2}$ .

Raise $c$ to the power of $1$ .

$c^{1} c^{2} h_{3} h_{2} h_{2} c h_{3}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$c^{1 + 2} h_{3} h_{2} h_{2} c h_{3}$

Add $1$ and $2$ .

$c^{3} h_{3} h_{2} h_{2} c h_{3}$

Step 3

Multiply $c^{3}$ by $c$ by adding the exponents.

Move $c$ .

$c \cdot c^{3} h_{3} h_{2} h_{2} h_{3}$

Multiply $c$ by $c^{3}$ .

Raise $c$ to the power of $1$ .

$c^{1} c^{3} h_{3} h_{2} h_{2} h_{3}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$c^{1 + 3} h_{3} h_{2} h_{2} h_{3}$

Add $1$ and $3$ .

$c^{4} h_{3} h_{2} h_{2} h_{3}$

Step 4

Multiply $h_{3}$ by $h_{3}$ by adding the exponents.

Move $h_{3}$ .

$c^{4} (h_{3} h_{3}) h_{2} h_{2}$

Multiply $h_{3}$ by $h_{3}$ .

$c^{4} {h_{3}}^{2} h_{2} h_{2}$

Step 5

Multiply $h_{2}$ by $h_{2}$ by adding the exponents.

Move $h_{2}$ .

$c^{4} {h_{3}}^{2} (h_{2} h_{2})$

Multiply $h_{2}$ by $h_{2}$ .

$c^{4} {h_{3}}^{2} {h_{2}}^{2}$