Answer:
119
Step-by-step explanation:
m - 1/m = 3
([tex](m-\frac{1}{m})^{2} = 9\\m^2 - 2 + \frac{1}{m^2} = 9\\ m^2 + \frac{1}{m^2}) = 11\\ \\[/tex]
[tex](m - \frac{1}{m}) ^4\\ = m^4 -4m^2 - \frac{4}{m^2} + 6 = 81\\ m^4 + \frac{1}{m^4} = 75 +4(m^2 + \frac{1}{m^2})\\ m^4 + \frac{1}{m^4} = 75 +4 * 11 = 119[/tex]
