Find the cube root.
-$- \sqrt [ 3 ] { - 125 x ^ { 24 } y ^ { 18 } }$
A) $5 x ^ { 8 } y ^ { 6 }$
B) $5 x ^ { 8 } y ^ { 9 }$
C) $25 x ^ { 8 } y ^ { 6 }$
D) $- 5 x ^ { 24 } y ^ { 6 }$

Question

Quizplus · Accepted Answer

The cube root of $-125$ is $-5$, but since there's a negative sign outside the cube root as well, it becomes positive $5$. For $x^{24}$, the cube root is $x^{24/3} = x^8$. For $y^{18}$, the cube root is $y^{18/3} = y^6$. Therefore, the correct answer is $5x^8y^6$.

Find the Cube Root −−125x24y183- \sqrt [ 3 ] { - 125 x ^ { 24 } y ^ { 18 } }−3−125x24y18​

Find the Cube Root $- \sqrt [ 3 ] { - 125 x ^ { 24 } y ^ { 18 } }$