Simplify (n^4q^4w^6)/(q^2n^3w)

$\frac{n^{4} q^{4} w^{6}}{q^{2} n^{3} w}$

Step 1

Cancel the common factor of $n^{4}$ and $n^{3}$ .

Factor $n^{3}$ out of $n^{4} q^{4} w^{6}$ .

$\frac{n^{3} (n q^{4} w^{6})}{q^{2} n^{3} w}$

Cancel the common factors.

Factor $n^{3}$ out of $q^{2} n^{3} w$ .

$\frac{n^{3} (n q^{4} w^{6})}{n^{3} (q^{2} w)}$

Cancel the common factor.

$\frac{n^{3} (n q^{4} w^{6})}{n^{3} (q^{2} w)}$

Rewrite the expression.

$\frac{n q^{4} w^{6}}{q^{2} w}$

$\frac{n q^{4} w^{6}}{q^{2} w}$

$\frac{n q^{4} w^{6}}{q^{2} w}$

Step 2

Cancel the common factor of $q^{4}$ and $q^{2}$ .

Factor $q^{2}$ out of $n q^{4} w^{6}$ .

$\frac{q^{2} (n q^{2} w^{6})}{q^{2} w}$

Cancel the common factors.

Factor $q^{2}$ out of $q^{2} w$ .

$\frac{q^{2} (n q^{2} w^{6})}{q^{2} (w)}$

Cancel the common factor.

$\frac{q^{2} (n q^{2} w^{6})}{q^{2} w}$

Rewrite the expression.

$\frac{n q^{2} w^{6}}{w}$

$\frac{n q^{2} w^{6}}{w}$

$\frac{n q^{2} w^{6}}{w}$

Step 3

Cancel the common factor of $w^{6}$ and $w$ .

Factor $w$ out of $n q^{2} w^{6}$ .

$\frac{w (n q^{2} w^{5})}{w}$

Cancel the common factors.

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

$\frac{w (n q^{2} w^{5})}{w^{1}}$

Factor $w$ out of $w^{1}$ .

$\frac{w (n q^{2} w^{5})}{w \cdot 1}$

Cancel the common factor.

$\frac{w (n q^{2} w^{5})}{w \cdot 1}$

Rewrite the expression.

$\frac{n q^{2} w^{5}}{1}$

Divide $n q^{2} w^{5}$ by $1$ .

$n q^{2} w^{5}$

$n q^{2} w^{5}$

$n q^{2} w^{5}$

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