Question

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

Answer

$$-7*y^6*x^12$$

Solution


Remove parentheses.
\[-7\times -{x}^{6}y\times -{x}^{6}{y}^{5}\]
Regroup terms.
\[-7y{y}^{5}\times -{x}^{6}\times -{x}^{6}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[-7{y}^{1+5}\times -{x}^{6}\times -{x}^{6}\]
Simplify  \(1+5\)  to  \(6\).
\[-7{y}^{6}\times -{x}^{6}\times -{x}^{6}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[-7{y}^{6}{x}^{12}\]