Simplify vhkghkghvkgv

$v h kg h kg h v kg v$

Step 1

Multiply $v$ by $v$ by adding the exponents.

Move $v$ .

$v \cdot v h kg h kg h kg v$

Multiply $v$ by $v$ .

$v^{2} h kg h kg h kg v$

Step 2

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

Move $v$ .

$v \cdot v^{2} h kg h kg h kg$

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

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

$v^{1} v^{2} h kg h kg h kg$

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

$v^{1 + 2} h kg h kg h kg$

Add $1$ and $2$ .

$v^{3} h kg h kg h kg$

Step 3

Multiply $h$ by $h$ by adding the exponents.

Move $h$ .

$v^{3} (h \cdot h) kg kg h kg$

Multiply $h$ by $h$ .

$v^{3} h^{2} kg kg h kg$

Step 4

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

Move $h$ .

$v^{3} (h \cdot h^{2}) kg kg kg$

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

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

$v^{3} (h^{1} h^{2}) kg kg kg$

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

$v^{3} h^{1 + 2} kg kg kg$

Add $1$ and $2$ .

$v^{3} h^{3} kg kg kg$

Step 5

Multiply $kg$ by $kg$ by adding the exponents.

Move $kg$ .

$v^{3} h^{3} (kg kg) kg$

Combine units.

$v^{3} h^{3} {kg}^{2} kg$

Step 6

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

Move $kg$ .

$v^{3} h^{3} (kg {kg}^{2})$

Combine units.

$v^{3} h^{3} {kg}^{3}$

Simplify vhkghkghvkgv

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