Use the power rule and the power of a product or quotient rule to simplify the expression.
-$\left( x ^ { 5 } y ^ { 4 } \right) ^ { 2 }$
A) $x ^ { 10 } y ^ { 8 }$
B) $\mathrm { x } ^ { 10 } \mathrm { y } ^ { 4 }$
C) $x ^ { 7 } y ^ { 6 }$
D) $x ^ { 5 } y ^ { 8 }$

Question

Quizplus · Accepted Answer

When applying the power of a product rule, each term inside the parentheses is raised to the power outside the parentheses, resulting in $x^{5*2}y^{4*2} = x^{10}y^{8}$.

Use the Power Rule and the Power of a Product (x5y4)2\left( x ^ { 5 } y ^ { 4 } \right) ^ { 2 }(x5y4)2

Use the Power Rule and the Power of a Product $\left( x ^ { 5 } y ^ { 4 } \right) ^ { 2 }$