For this case we must find an expression equivalent to:
[tex](256x^{16}) ^ {\frac {1} {4}[/tex]
By definition of power properties we have to:
[tex](a ^ n) ^ m = a ^ {n * m}[/tex]
Then, rewriting the expression:
[tex](256 ^ {\frac {1} {4}} * x ^ {\frac {16} {4}}) =[/tex]
We have by definition:
[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]
So:
[tex]\sqrt [4] {256} * x ^ 4 =\\\sqrt [4] {4 ^ 4} * x ^ 4 =\\4x ^ 4[/tex]
ANswer:
Option B
