Simplify ((2x^8)/(5y))/((4x^2)/(25y^3))

$\frac{\frac{2 x^{8}}{5 y}}{\frac{4 x^{2}}{25 y^{3}}}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{2 x^{8}}{5 y} \cdot \frac{25 y^{3}}{4 x^{2}}$

Combine.

$\frac{2 x^{8} (25 y^{3})}{5 y (4 x^{2})}$

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $2 x^{8} (25 y^{3})$ .

$\frac{2 (x^{8} (25 y^{3}))}{5 y (4 x^{2})}$

Cancel the common factors.

Factor $2$ out of $5 y (4 x^{2})$ .

$\frac{2 (x^{8} (25 y^{3}))}{2 (5 y (2 x^{2}))}$

Cancel the common factor.

$\frac{2 (x^{8} (25 y^{3}))}{2 (5 y (2 x^{2}))}$

Rewrite the expression.

$\frac{x^{8} (25 y^{3})}{5 y (2 x^{2})}$

Cancel the common factor of $x^{8}$ and $x^{2}$ .

Factor $x^{2}$ out of $x^{8} (25 y^{3})$ .

$\frac{x^{2} (x^{6} (25 y^{3}))}{5 y (2 x^{2})}$

Cancel the common factors.

Factor $x^{2}$ out of $5 y (2 x^{2})$ .

$\frac{x^{2} (x^{6} (25 y^{3}))}{x^{2} (5 y \cdot (2))}$

Cancel the common factor.

$\frac{x^{2} (x^{6} (25 y^{3}))}{x^{2} (5 y \cdot (2))}$

Rewrite the expression.

$\frac{x^{6} (25 y^{3})}{5 y \cdot (2)}$

Cancel the common factor of $25$ and $5$ .

Factor $5$ out of $x^{6} (25 y^{3})$ .

$\frac{5 (x^{6} (5 y^{3}))}{5 y \cdot (2)}$

Cancel the common factors.

Factor $5$ out of $5 y \cdot (2)$ .

$\frac{5 (x^{6} (5 y^{3}))}{5 (y \cdot (2))}$

Cancel the common factor.

$\frac{5 (x^{6} (5 y^{3}))}{5 (y \cdot (2))}$

Rewrite the expression.

$\frac{x^{6} (5 y^{3})}{y \cdot (2)}$

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

Factor $y$ out of $x^{6} (5 y^{3})$ .

$\frac{y (x^{6} (5 y^{2}))}{y \cdot (2)}$

Cancel the common factors.

Factor $y$ out of $y \cdot (2)$ .

$\frac{y (x^{6} (5 y^{2}))}{y (2)}$

Cancel the common factor.

$\frac{y (x^{6} (5 y^{2}))}{y \cdot 2}$

Rewrite the expression.

$\frac{x^{6} (5 y^{2})}{2}$

Move $5$ to the left of $x^{6}$ .

$\frac{5 x^{6} y^{2}}{2}$

Simplify ((2x^8)/(5y))/((4x^2)/(25y^3))

Related Questions

Support LCMGCF.com by disabling your adblocker.