Simplify (10x^3y^4)/(8x^3y^3)*(12x^4y)/(11x^3y^2)

$\frac{10 x^{3} y^{4}}{8 x^{3} y^{3}} \cdot \frac{12 x^{4} y}{11 x^{3} y^{2}}$

Combine.

$\frac{10 x^{3} y^{4} (12 x^{4} y)}{8 x^{3} y^{3} (11 x^{3} y^{2})}$

Multiply $x^{3}$ by $x^{4}$ by adding the exponents.

Move $x^{4}$ .

$\frac{10 (x^{4} x^{3}) y^{4} (12 y)}{8 x^{3} y^{3} (11 x^{3} y^{2})}$

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

$\frac{10 x^{4 + 3} y^{4} (12 y)}{8 x^{3} y^{3} (11 x^{3} y^{2})}$

Add $4$ and $3$ .

$\frac{10 x^{7} y^{4} (12 y)}{8 x^{3} y^{3} (11 x^{3} y^{2})}$

Multiply $y^{4}$ by $y$ by adding the exponents.

Move $y$ .

$\frac{10 x^{7} (y \cdot y^{4}) \cdot 12}{8 x^{3} y^{3} (11 x^{3} y^{2})}$

Multiply $y$ by $y^{4}$ .

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

$\frac{10 x^{7} (y^{1} y^{4}) \cdot 12}{8 x^{3} y^{3} (11 x^{3} y^{2})}$

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

$\frac{10 x^{7} y^{1 + 4} \cdot 12}{8 x^{3} y^{3} (11 x^{3} y^{2})}$

Add $1$ and $4$ .

$\frac{10 x^{7} y^{5} \cdot 12}{8 x^{3} y^{3} (11 x^{3} y^{2})}$

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

Move $x^{3}$ .

$\frac{10 x^{7} y^{5} \cdot 12}{8 (x^{3} x^{3}) y^{3} (11 y^{2})}$

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

$\frac{10 x^{7} y^{5} \cdot 12}{8 x^{3 + 3} y^{3} (11 y^{2})}$

Add $3$ and $3$ .

$\frac{10 x^{7} y^{5} \cdot 12}{8 x^{6} y^{3} (11 y^{2})}$

Multiply $y^{3}$ by $y^{2}$ by adding the exponents.

Move $y^{2}$ .

$\frac{10 x^{7} y^{5} \cdot 12}{8 x^{6} (y^{2} y^{3}) \cdot 11}$

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

$\frac{10 x^{7} y^{5} \cdot 12}{8 x^{6} y^{2 + 3} \cdot 11}$

Add $2$ and $3$ .

$\frac{10 x^{7} y^{5} \cdot 12}{8 x^{6} y^{5} \cdot 11}$

Cancel the common factor of $10$ and $8$ .

Factor $2$ out of $10 x^{7} y^{5} \cdot 12$ .

$\frac{2 (5 x^{7} y^{5} \cdot 12)}{8 x^{6} y^{5} \cdot 11}$

Cancel the common factors.

Factor $2$ out of $8 x^{6} y^{5} \cdot 11$ .

$\frac{2 (5 x^{7} y^{5} \cdot 12)}{2 (4 x^{6} y^{5} \cdot 11)}$

Cancel the common factor.

$\frac{2 (5 x^{7} y^{5} \cdot 12)}{2 (4 x^{6} y^{5} \cdot 11)}$

Rewrite the expression.

$\frac{5 x^{7} y^{5} \cdot 12}{4 x^{6} y^{5} \cdot 11}$

Cancel the common factor of $x^{7}$ and $x^{6}$ .

Factor $x^{6}$ out of $5 x^{7} y^{5} \cdot 12$ .

$\frac{x^{6} (5 x y^{5} \cdot 12)}{4 x^{6} y^{5} \cdot 11}$

Cancel the common factors.

Factor $x^{6}$ out of $4 x^{6} y^{5} \cdot 11$ .

$\frac{x^{6} (5 x y^{5} \cdot 12)}{x^{6} (4 y^{5} \cdot 11)}$

Cancel the common factor.

$\frac{x^{6} (5 x y^{5} \cdot 12)}{x^{6} (4 y^{5} \cdot 11)}$

Rewrite the expression.

$\frac{5 x y^{5} \cdot 12}{4 y^{5} \cdot 11}$

Cancel the common factor of $y^{5}$ .

Cancel the common factor.

$\frac{5 x y^{5} \cdot 12}{4 y^{5} \cdot 11}$

Rewrite the expression.

$\frac{5 x \cdot 12}{4 \cdot 11}$

Cancel the common factor of $12$ and $4$ .

Factor $4$ out of $5 x \cdot 12$ .

$\frac{4 (5 x \cdot 3)}{4 \cdot 11}$

Cancel the common factors.

Factor $4$ out of $4 \cdot 11$ .

$\frac{4 (5 x \cdot 3)}{4 (11)}$

Cancel the common factor.

$\frac{4 (5 x \cdot 3)}{4 \cdot 11}$

Rewrite the expression.

$\frac{5 x \cdot 3}{11}$

Multiply $3$ by $5$ .

$\frac{15 x}{11}$

Simplify (10x^3y^4)/(8x^3y^3)*(12x^4y)/(11x^3y^2)

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