Answer:
[tex]4x^{4}[/tex]
Step-by-step explanation:
Given in the question an expression,
[tex](256x^{16})^\frac{1}{4}[/tex]
As we know that,
[tex]x^{\frac{1}{4} }= \sqrt[4]{x}[/tex]
so
[tex]\sqrt[4]{256x^{16} }[/tex]
it could also be written as
[tex]\sqrt{\sqrt{256x^{16} } }[/tex]
First to solve inner square root
[tex]\sqrt{256x^{16} } = 16x^{16/2}[/tex]
[tex]\sqrt{16x^{8} }[/tex]
Second outer square root
[tex]\sqrt{16x^{8}}=4x^{8/2}[/tex]=[tex]4x^{4}[/tex]
