Simplify (-5x^4y)(-6x^7y^11)

$(- 5 x^{4} y) (- 6 x^{7} y^{11})$

Step 1

Multiply $x^{4}$ by $x^{7}$ by adding the exponents.

Move $x^{7}$ .

$- 5 (x^{7} x^{4}) y (- 6 y^{11})$

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

$- 5 x^{7 + 4} y (- 6 y^{11})$

Add $7$ and $4$ .

$- 5 x^{11} y (- 6 y^{11})$

Step 2

Multiply $y$ by $y^{11}$ by adding the exponents.

Move $y^{11}$ .

$- 5 x^{11} (y^{11} y) \cdot - 6$

Multiply $y^{11}$ by $y$ .

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

$- 5 x^{11} (y^{11} y^{1}) \cdot - 6$

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

$- 5 x^{11} y^{11 + 1} \cdot - 6$

Add $11$ and $1$ .

$- 5 x^{11} y^{12} \cdot - 6$

Step 3

Multiply $- 6$ by $- 5$ .

$30 x^{11} y^{12}$