Simplify.
-$\sqrt [ 3 ] { 729 x ^ { 4 } y ^ { 5 } }$
A) $9 x y \sqrt [ 3 ] { x y }$
B) $9 x y \sqrt [ 3 ] { x y ^ { 2 } }$
C) $9 x y \sqrt { x y ^ { 2 } }$
D) $5 x y \sqrt [ 3 ] { x y ^ { 2 } }$

Question

Quizplus · Accepted Answer

The cube root of $729$ is $9$, and the cube root of $x^4$ is $x^{4/3}$, which can be simplified to $x \cdot x^{1/3}$. The cube root of $y^5$ is $y^{5/3}$, which simplifies to $y \cdot y^{2/3}$. Combining these, we get $9xy\sqrt[3]{xy^2}$.

Simplify - 729x4y53\sqrt [ 3 ] { 729 x ^ { 4 } y ^ { 5 } }3729x4y5​

Simplify
- $\sqrt [ 3 ] { 729 x ^ { 4 } y ^ { 5 } }$