Answer:
Choice B
Step-by-step explanation:
Given radical expression:
[tex] \sqrt[4]{1296 {x}^{16} {y}^{12} } [/tex]
To Find:
The Simpler form of this expression
Soln:
[tex] = \sqrt[4]{1296 {x}^{16} {y}^{12} } [/tex]
We could re-write the given expression, according to the law of exponents:
[tex] = \tt \sqrt[4]{(6x {}^{4}y {}^{3}) {}^{4} } [/tex]
Now we need to bring terms out of the radical as:
[tex] \tt = | 6x { }^{4} y {}^{3} | [/tex]
Bring out 6x^4 from the absolute & put y^3 only in it:
[tex] \tt = 6x {}^{4} |y {}^{3} | [/tex]
Choice B is accurate.
