Simplify. Assume that all variables represent positive real numbers.
-$$\sqrt [ 5 ] { 243 x ^ { 3 } y ^ { 29 } }$$
A) $3 x y ^ { 4 } \sqrt [ 5 ] { x ^ { 2 } y ^ { 4 } }$
B) $3 y ^ { 5 } \sqrt [ 5 ] { x ^ { 3 } y ^ { 4 } }$
C) $3 x y ^ { 5 } \sqrt [ 5 ] { 3 x y ^ { 4 } }$
D) $3 y ^ { 4 } \sqrt [ 5 ] { 3 x ^ { 3 } y ^ { 4 } }$

Question

Quizplus · Accepted Answer

The fifth root of 243 is 3, and $y^{29}$ can be split into $y^{25} \cdot y^4$, which simplifies to $y^5 \cdot \sqrt[5]{y^4}$. Thus, the expression simplifies to $3 y^5 \sqrt[5]{x^3 y^4}$.

Simplify Assume That All Variables Represent Positive Real Numbers 243x3y295\sqrt [ 5 ] { 243 x ^ { 3 } y ^ { 29 } }5243x3y29​

Simplify Assume That All Variables Represent Positive Real Numbers $\sqrt [ 5 ] { 243 x ^ { 3 } y ^ { 29 } }$