Find the root. Assume that all variables represent positive numbers.
-$\sqrt { \mathrm { x } ^ { 16 } \mathrm { y } 12 }$
A) $x ^ { 8 } y ^ { 12 }$
B) $x ^ { 14 } y ^ { 10 }$
C)x8y6
D)x16y6

Question

Quizplus · Accepted Answer

The square root of $x^{16}y^{12}$ simplifies to $x^{8}y^{6}$ because the square root of $x^{16}$ is $x^{8}$ (since $\sqrt{x^{16}} = x^{16/2} = x^{8}$) and the square root of $y^{12}$ is $y^{6}$ (since $\sqrt{y^{12}} = y^{12/2} = y^{6}$).

Find the Root x16y12\sqrt { \mathrm { x } ^ { 16 } \mathrm { y } 12 }x16y12​

Find the Root $\sqrt { \mathrm { x } ^ { 16 } \mathrm { y } 12 }$