Question

What is a simpler form of the radical expression?

SOMEONE PLEASE HELP!!

Answer 1

Answer:

Choice B

Step-by-step explanation:

Given radical expression:

$\sqrt[4]{1296 {x}^{16} {y}^{12} }$

To Find:

The Simpler form of this expression

Soln:

$= \sqrt[4]{1296 {x}^{16} {y}^{12} }$

We could re-write the given expression, according to the law of exponents:

$= \tt \sqrt[4]{(6x {}^{4}y {}^{3}) {}^{4} }$

Now we need to bring terms out of the radical as:

$\tt = | 6x { }^{4} y {}^{3} |$

Bring out 6x^4 from the absolute & put y^3 only in it:

$\tt = 6x {}^{4} |y {}^{3} |$

Choice B is accurate.