solve the equation m^6 -64=0

Answer 1

M^6-64=0
M^6=64
take 6root of M^6 to get M
take 6root of 64 which =+or-2
so,M=+-2

Answer 2

(m^2-4)(m^4+4m^2+16) = 0
(m+2)(m-2)(m^4+4m^2+16) = 0

so, m = 2 and -2 are solutions

Now we have a quadratic in m^2, so

m^2 = [-4 +/- sqrt(-48)]/2
= -2 +/- 4sqrt(3)i
m = +/- 1 +/- sqrt(3)i