Simplify (16yx^4)/(9x^8y^2)

$\frac{16 y x^{4}}{9 x^{8} y^{2}}$

Step 1

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

Factor $y$ out of $16 y x^{4}$ .

$\frac{y (16 x^{4})}{9 x^{8} y^{2}}$

Cancel the common factors.

Factor $y$ out of $9 x^{8} y^{2}$ .

$\frac{y (16 x^{4})}{y (9 x^{8} y)}$

Cancel the common factor.

$\frac{y (16 x^{4})}{y (9 x^{8} y)}$

Rewrite the expression.

$\frac{16 x^{4}}{9 x^{8} y}$

$\frac{16 x^{4}}{9 x^{8} y}$

$\frac{16 x^{4}}{9 x^{8} y}$

Step 2

Cancel the common factor of $x^{4}$ and $x^{8}$ .

Factor $x^{4}$ out of $16 x^{4}$ .

$\frac{x^{4} \cdot 16}{9 x^{8} y}$

Cancel the common factors.

Factor $x^{4}$ out of $9 x^{8} y$ .

$\frac{x^{4} \cdot 16}{x^{4} (9 x^{4} y)}$

Cancel the common factor.

$\frac{x^{4} \cdot 16}{x^{4} (9 x^{4} y)}$

Rewrite the expression.

$\frac{16}{9 x^{4} y}$

$\frac{16}{9 x^{4} y}$

$\frac{16}{9 x^{4} y}$

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