Perform the indicated operations and simplify. $\left( - 4 x ^ { 2 } y ^ { 2 } \right) ^ { 3 } \left( - x y ^ { 5 } \right) ^ { 5 }$
A) $64 x ^ { 11 } y ^ { - 19 }$
B) $64 x ^ { 10 } y ^ { 11 }$
C) $- 64 x ^ { 10 } y ^ { 30 }$
D) $- 64 x ^ { 11 } y ^ { 31 }$
E) $64 x ^ { 11 } y ^ { 31 }$

Question

Quizplus · Accepted Answer

First, simplify each term separately: $(-4x^2y^2)^3 = -64x^6y^6$ and $(-xy^5)^5 = -x^5y^{25}$. Then, multiply these results together: $-64x^6y^6 \cdot -x^5y^{25} = 64x^{11}y^{31}$.

Perform the Indicated Operations and Simplify (−4x2y2)3(−xy5)5\left( - 4 x ^ { 2 } y ^ { 2 } \right) ^ { 3 } \left( - x y ^ { 5 } \right) ^ { 5 }(−4x2y2)3(−xy5)5

Perform the Indicated Operations and Simplify $\left( - 4 x ^ { 2 } y ^ { 2 } \right) ^ { 3 } \left( - x y ^ { 5 } \right) ^ { 5 }$