Let's substitute m = 1/4 into the expression:
(m^-6)^-2 m^-14= (1/(1/4)^6)^-2 (1/4)^-14= (1/(1/4096))^-2 (1/4)^-14= (4096)^-2 4^14= 1/16777216 * 268435456= 16/268435456= 1/16777216
Therefore, when m = 1/4, the expression (m^-6)^-2 * m^-14 simplifies to 1/16777216.
Let's substitute m = 1/4 into the expression:
(m^-6)^-2 m^-14
= (1/(1/4)^6)^-2 (1/4)^-14
= (1/(1/4096))^-2 (1/4)^-14
= (4096)^-2 4^14
= 1/16777216 * 268435456
= 16/268435456
= 1/16777216
Therefore, when m = 1/4, the expression (m^-6)^-2 * m^-14 simplifies to 1/16777216.