Question

Which expression is equivalent to ?

x5
algebra II engenuity

Answer 1

Last Option

Explanation:

Given expression is:

`\sqrt[4]{(24x^6y)/(128x^4y^5)}`

Simplifying the radicand

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

Hence,

Last option is correct ..