Simplify the radical expression. Assume that all variables represent positive real numbers.
-$\sqrt [ 3 ] { 343 x ^ { 4 } y ^ { 5 } }$
A) $7 x y \sqrt [ 3 ] { x y }$
B) $2 x y \sqrt [ 3 ] { x y ^ { 2 } }$
C) $7 x y \sqrt [ 3 ] { x y ^ { 2 } }$
D) $7 x y \sqrt { x y ^ { 2 } }$

Question

Quizplus · Accepted Answer

The cube root of 343 is 7, and the cube root of $x^4$ is $x$ with a remainder of $x$, and the cube root of $y^5$ is $y$ with a remainder of $y^2$. Thus, the expression simplifies to $7xy \sqrt[3]{xy^2}$.

Simplify the Radical Expression 343x4y53\sqrt [ 3 ] { 343 x ^ { 4 } y ^ { 5 } }3343x4y5​

Simplify the Radical Expression $\sqrt [ 3 ] { 343 x ^ { 4 } y ^ { 5 } }$