Multiply (12x^10y^4)/(8x^3y^10)*(6x^4y^2)/x

$\frac{12 x^{10} y^{4}}{8 x^{3} y^{10}} \cdot \frac{6 x^{4} y^{2}}{x}$

Cancel the common factor of $x$ .

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Factor $x$ out of $12 x^{10} y^{4}$ .

$\frac{x (12 x^{9} y^{4})}{8 x^{3} y^{10}} \cdot \frac{6 x^{4} y^{2}}{x}$

Cancel the common factor.

$\frac{x (12 x^{9} y^{4})}{8 x^{3} y^{10}} \cdot \frac{6 x^{4} y^{2}}{x}$

Rewrite the expression.

$\frac{12 x^{9} y^{4}}{8 x^{3} y^{10}} \cdot (6 x^{4} y^{2})$

Cancel the common factor of $2 x^{3} y^{2}$ .

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Factor $2 x^{3} y^{2}$ out of $8 x^{3} y^{10}$ .

$\frac{12 x^{9} y^{4}}{2 x^{3} y^{2} (4 y^{8})} \cdot (6 x^{4} y^{2})$

Factor $2 x^{3} y^{2}$ out of $6 x^{4} y^{2}$ .

$\frac{12 x^{9} y^{4}}{2 x^{3} y^{2} (4 y^{8})} \cdot (2 x^{3} y^{2} (3 x))$

Cancel the common factor.

$\frac{12 x^{9} y^{4}}{2 x^{3} y^{2} (4 y^{8})} \cdot (2 x^{3} y^{2} (3 x))$

Rewrite the expression.

$\frac{12 x^{9} y^{4}}{4 y^{8}} \cdot (3 x)$

Combine $3$ and $\frac{12 x^{9} y^{4}}{4 y^{8}}$ .

$\frac{3 (12 x^{9} y^{4})}{4 y^{8}} \cdot x$

Multiply $12$ by $3$ .

$\frac{36 (x^{9} y^{4})}{4 y^{8}} \cdot x$

Combine $\frac{36 (x^{9} y^{4})}{4 y^{8}}$ and $x$ .

$\frac{36 (x^{9} y^{4}) x}{4 y^{8}}$

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

$\frac{36 (x^{1} x^{9} y^{4})}{4 y^{8}}$

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

$\frac{36 (x^{1 + 9} y^{4})}{4 y^{8}}$

Add $1$ and $9$ .

$\frac{36 (x^{10} y^{4})}{4 y^{8}}$

Cancel the common factor of $36$ and $4$ .

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Factor $4$ out of $36 (x^{10} y^{4})$ .

$\frac{4 (9 (x^{10} y^{4}))}{4 y^{8}}$

Cancel the common factors.

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

$\frac{4 (9 (x^{10} y^{4}))}{4 (y^{8})}$

Cancel the common factor.

$\frac{4 (9 (x^{10} y^{4}))}{4 y^{8}}$

Rewrite the expression.

$\frac{9 (x^{10} y^{4})}{y^{8}}$

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

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Factor $y^{4}$ out of $9 (x^{10} y^{4})$ .

$\frac{y^{4} (9 (x^{10}))}{y^{8}}$

Cancel the common factors.

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

$\frac{y^{4} (9 (x^{10}))}{y^{4} y^{4}}$

Cancel the common factor.

$\frac{y^{4} (9 (x^{10}))}{y^{4} y^{4}}$

Rewrite the expression.

$\frac{9 (x^{10})}{y^{4}}$

$\frac{9 x^{10}}{y^{4}}$

Multiply (12x^10y^4)/(8x^3y^10)*(6x^4y^2)/x

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