Question

Which expression is equivalent to ? x5 algebra II engenuity

Answer 1

Answer:

Last Option

Step-by-step explanation:

Given expression is:

$\sqrt[4]{\frac{24x^6y}{128x^4y^5}}$

Simplifying the radicand

$=\sqrt[4]{\frac{8*3*x^6*y}{8*16*x^4*y^5}}\\=\sqrt[4]{\frac{3*x^6*y}{16*x^4*y^5}}\\=\sqrt[4]{\frac{3*x^6*y}{2^4*x^4*y^5}}\\=\sqrt[4]{\frac{3*x^{(6-4)}}{2^4*y^{(5-1)}}}\\=\sqrt[4]{\frac{3*x^{2}}{2^4*y^{4}}}\\Applying\ Radical\\= \frac{\sqrt[4]{3x^2}}{2y}$

Hence,

Last option is correct ..