Perform the indicated operations and simplify. $\left( - 5 x ^ { 4 } y ^ { 4 } \right) ^ { 3 } \left( - x y ^ { 3 } \right) ^ { 3 }$
A) $125 x ^ { 15 } y ^ { 21 }$
B) $- 125 x ^ { 15 } y ^ { 21 }$
C) $125 x ^ { 15 } y ^ { 3 }$
D) $- 125 x ^ { 10 } y ^ { 16 }$
E) $125 x ^ { 10 } y ^ { 15 }$

Question

Quizplus · Accepted Answer

When simplifying the expression, each term inside the parentheses is raised to the power outside the parentheses. For the first term, $(-5)^3 = -125$, $x^{4*3} = x^{12}$, and $y^{4*3} = y^{12}$. For the second term, $(-1)^3 = -1$, $x^{1*3} = x^3$, and $y^{3*3} = y^9$. Multiplying these together: $(-125) * (-1) = 125$, $x^{12+3} = x^{15}$, and $y^{12+9} = y^{21}$. Therefore, the simplified expression is $125 x^{15} y^{21}$.

Perform the Indicated Operations and Simplify (−5x4y4)3(−xy3)3\left( - 5 x ^ { 4 } y ^ { 4 } \right) ^ { 3 } \left( - x y ^ { 3 } \right) ^ { 3 }(−5x4y4)3(−xy3)3

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