Find the root. Assume that all variables represent nonnegative real numbers.
-$\sqrt [ 4 ] { 16 x ^ { 8 } y ^ { 16 } }$
A) $2 x ^ { 2 } y ^ { 4 }$
B) not a real number
C) $2.497 x ^ { 2 } y ^ { 4 }$
D) $4 \mathrm { x } ^ { 4 } \mathrm { y } ^ { 2 }$

Question

Quizplus · Accepted Answer

The fourth root of $16x^8y^{16}$ simplifies to $2x^2y^4$ because the fourth root of 16 is 2, and dividing the exponents of $x^8$ and $y^{16}$ by 4 gives $x^2$ and $y^4$, respectively.

Find the Root 16x8y164\sqrt [ 4 ] { 16 x ^ { 8 } y ^ { 16 } }416x8y16​

Find the Root $\sqrt [ 4 ] { 16 x ^ { 8 } y ^ { 16 } }$