Find the root. Assume that all variables represent nonnegative real numbers.
-$- \sqrt [ 4 ] { 256 x ^ { 12 } y ^ { 8 } }$
A) $6.233 x ^ { 3 } y ^ { 2 }$
B) $16 \mathrm { x } ^ { 3 } \mathrm { y } ^ { 2 }$
C) $- 4 x ^ { 3 } y ^ { 2 }$
D) not a real number

Question

Quizplus · Accepted Answer

The fourth root of $256x^{12}y^{8}$ is $4x^{3}y^{2}$ because $256 = 4^4$, $x^{12} = (x^3)^4$, and $y^{8} = (y^2)^4$. The negative sign outside the root remains, making the answer $-4x^{3}y^{2}$.

Find the Root −256x12y84- \sqrt [ 4 ] { 256 x ^ { 12 } y ^ { 8 } }−4256x12y8​

Find the Root $- \sqrt [ 4 ] { 256 x ^ { 12 } y ^ { 8 } }$