Question

Help please and thank you

Answer 1

n=4

Explanation:

`\sqrt[n]{256} =8^{(1)/(3) } *8^{(1)/(3) } \\256^{(1)/(n) } =(2^(3) )^{(1)/(3) } *(2^(3) )^{(1)/(3) } \\(2^(8))^{(1)/(n) } =2^{3 * (1)/(3) } *2^{3 * (1)/(3) } \\2^{(8)/(n) } =2 * 2\\2^{(8)/(n) } =2^(2) \\(8)/(n) =2\\n=(8)/(2) =4`