Simplify (y^10)/(2x^3)*(20x^14)/(xy^6)

$\frac{y^{10}}{2 x^{3}} \cdot \frac{20 x^{14}}{x y^{6}}$

Combine.

$\frac{y^{10} (20 x^{14})}{2 x^{3} (x y^{6})}$

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

Move $x$ .

$\frac{y^{10} (20 x^{14})}{2 (x \cdot x^{3}) y^{6}}$

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

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

$\frac{y^{10} (20 x^{14})}{2 (x^{1} x^{3}) y^{6}}$

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

$\frac{y^{10} (20 x^{14})}{2 x^{1 + 3} y^{6}}$

Add $1$ and $3$ .

$\frac{y^{10} (20 x^{14})}{2 x^{4} y^{6}}$

Cancel the common factor of $y^{10}$ and $y^{6}$ .

Factor $y^{6}$ out of $y^{10} (20 x^{14})$ .

$\frac{y^{6} (y^{4} (20 x^{14}))}{2 x^{4} y^{6}}$

Cancel the common factors.

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

$\frac{y^{6} (y^{4} (20 x^{14}))}{y^{6} (2 x^{4})}$

Cancel the common factor.

$\frac{y^{6} (y^{4} (20 x^{14}))}{y^{6} (2 x^{4})}$

Rewrite the expression.

$\frac{y^{4} (20 x^{14})}{2 x^{4}}$

Cancel the common factor of $20$ and $2$ .

Factor $2$ out of $y^{4} (20 x^{14})$ .

$\frac{2 (y^{4} (10 x^{14}))}{2 x^{4}}$

Cancel the common factors.

Factor $2$ out of $2 x^{4}$ .

$\frac{2 (y^{4} (10 x^{14}))}{2 (x^{4})}$

Cancel the common factor.

$\frac{2 (y^{4} (10 x^{14}))}{2 x^{4}}$

Rewrite the expression.

$\frac{y^{4} (10 x^{14})}{x^{4}}$

Cancel the common factor of $x^{14}$ and $x^{4}$ .

Factor $x^{4}$ out of $y^{4} (10 x^{14})$ .

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

Cancel the common factors.

Multiply by $1$ .

$\frac{x^{4} (y^{4} (10 x^{10}))}{x^{4} \cdot 1}$

Cancel the common factor.

$\frac{x^{4} (y^{4} (10 x^{10}))}{x^{4} \cdot 1}$

Rewrite the expression.

$\frac{y^{4} (10 x^{10})}{1}$

Divide $y^{4} (10 x^{10})$ by $1$ .

$y^{4} (10 x^{10})$

Rewrite using the commutative property of multiplication.

$10 y^{4} x^{10}$

Simplify (y^10)/(2x^3)*(20x^14)/(xy^6)

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