Simplify (16x^3)/(5y^9)*(x^3y^7)/(80xy^2)

$\frac{16 x^{3}}{5 y^{9}} \cdot \frac{x^{3} y^{7}}{80 x y^{2}}$

Combine.

$\frac{16 x^{3} (x^{3} y^{7})}{5 y^{9} (80 x y^{2})}$

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

Move $x^{3}$ .

$\frac{16 (x^{3} x^{3}) y^{7}}{5 y^{9} (80 x y^{2})}$

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

$\frac{16 x^{3 + 3} y^{7}}{5 y^{9} (80 x y^{2})}$

Add $3$ and $3$ .

$\frac{16 x^{6} y^{7}}{5 y^{9} (80 x y^{2})}$

Multiply $y^{9}$ by $y^{2}$ by adding the exponents.

Move $y^{2}$ .

$\frac{16 x^{6} y^{7}}{5 (y^{2} y^{9}) (80 x)}$

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

$\frac{16 x^{6} y^{7}}{5 y^{2 + 9} (80 x)}$

Add $2$ and $9$ .

$\frac{16 x^{6} y^{7}}{5 y^{11} (80 x)}$

Cancel the common factor of $16$ and $80$ .

Factor $16$ out of $16 x^{6} y^{7}$ .

$\frac{16 (x^{6} y^{7})}{5 y^{11} (80 x)}$

Cancel the common factors.

Factor $16$ out of $5 y^{11} (80 x)$ .

$\frac{16 (x^{6} y^{7})}{16 (5 y^{11} (5 x))}$

Cancel the common factor.

$\frac{16 (x^{6} y^{7})}{16 (5 y^{11} (5 x))}$

Rewrite the expression.

$\frac{x^{6} y^{7}}{5 y^{11} (5 x)}$

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

Factor $x$ out of $x^{6} y^{7}$ .

$\frac{x (x^{5} y^{7})}{5 y^{11} (5 x)}$

Cancel the common factors.

Factor $x$ out of $5 y^{11} (5 x)$ .

$\frac{x (x^{5} y^{7})}{x (5 y^{11} \cdot (5))}$

Cancel the common factor.

$\frac{x (x^{5} y^{7})}{x (5 y^{11} \cdot (5))}$

Rewrite the expression.

$\frac{x^{5} y^{7}}{5 y^{11} \cdot (5)}$

Cancel the common factor of $y^{7}$ and $y^{11}$ .

Factor $y^{7}$ out of $x^{5} y^{7}$ .

$\frac{y^{7} x^{5}}{5 y^{11} \cdot (5)}$

Cancel the common factors.

Factor $y^{7}$ out of $5 y^{11} \cdot (5)$ .

$\frac{y^{7} x^{5}}{y^{7} (5 y^{4} \cdot 5)}$

Cancel the common factor.

$\frac{y^{7} x^{5}}{y^{7} (5 y^{4} \cdot 5)}$

Rewrite the expression.

$\frac{x^{5}}{5 y^{4} \cdot 5}$

Multiply $5$ by $5$ .

$\frac{x^{5}}{25 y^{4}}$

Simplify (16x^3)/(5y^9)*(x^3y^7)/(80xy^2)

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