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

Answer 1

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

Substituting m = 2 and n = -24 gives us:
(-2)^-3(-24)

Now, we simplify this expression:
(-2)^(-3*-24) = (-2)^(72)

Since the exponent is even, the negative sign can be disregarded:
(-2)^(72) = 2^(72)

Therefore, (-m)^-3n = 2^(72) when m = 2 and n = -24.