Which expression is equivalent

Question

asked Jun 26, 2019 24.5k views

1 Answer

Amuoeba · Answer 1 · 2019-07-02T23:46:47+0000

Given expression is

$\sqrt[4]{(16x^(11)y^8)/(81x^7y^6)}$

Radical is fourth root

first we simplify the terms inside the radical

(x^(11))/(x^7)=x^4

(y^(8))/(y^6)=y^2

So the expression becomes

$\sqrt[4]{(16x^4y^2)/(81)}$

Now we take fourth root

$\sqrt[4]{16} = 2$

$\sqrt[4]{81} = 3$

$\sqrt[4]{x^4} = x$

We cannot simplify fourth root (y^2)

After simplification , expression becomes

$\frac{2x\sqrt[4]{y^2}}{3}$

Answer is option B