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

a ) 3
b ) -3
c ) 4
d ) -4

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
11 months ago

To evaluate the expression (-m)^-3n when m = 2 and n = -24, we substitute the values into the expression and simplify:

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

First, let's simplify the exponent:
(-2)^-3 = 1/(-2)^3
= 1/(-8)
= -1/8

Now substitute this back into the original expression:
(-m)^-3n = (-1/8)(-24)
= 3

Therefore, the answer is:

a) 3