What is (-m)^-3n if m=2 and n =-24

1 answer

To find the value of (-m)^-3n when m = 2 and n = -24, we substitute these values into the expression.

(-m)^-3n = (-2)^-3(-24)

Since (-2) raised to an even power is positive, and an odd power is negative, we can simplify (-2)^-3 as -1/(-2)^3.

(-1/(-2)^3)(-24) = (-1/(-8))(-24)

The negative signs cancel out, and we can multiply -1/(-8) and -24 to find the final result.

(-1/(-8))(-24) = (-1)(-3) = 3

Therefore, (-m)^-3n, when m = 2 and n = -24, is equal to 3.