Answer:
n = 4
Step-by-step explanation:
[tex]\sqrt[n]{256} = 8^{1/3} * 8^{1/3}[/tex]
[tex]\sqrt[n]{256} = 8^{2/3}[/tex]
[tex]\sqrt[n]{2^8} = 8^{2/3}[/tex]
[tex]2^{8/n} = 2^{3 * (2/3)}[/tex]
[tex]2^{8/n} = 2^{2}[/tex]
[tex]8/n = 2[/tex]
[tex]2n = 8[/tex]
[tex]n = 4[/tex] < --- This is your answer
Hope this helps!
