what is (-m)^-3 x n if m = 2 and n = -24?
A. 3
B. -3
C. 4
D.-4
To find the value of (-m)^-3 x n, we first need to substitute the values of m and n into the equation.
Given m = 2 and n = -24, we have:
(-m)^-3 x n = (-2)^-3 x (-24)
To simplify (-2)^-3, we can use the rule that a negative exponent indicates the reciprocal of the base raised to the positive exponent. So, (-2)^-3 is equal to 1/(-2)^3.
Calculating (-2)^3, we get (-2)(-2)(-2) = -8.
Therefore, (-2)^-3 = 1/(-8) = -1/8.
Plugging the value of (-2)^-3 back into the equation, we have:
(-m)^-3 x n = (-1/8) x (-24)
Multiplying -1/8 by -24, we get (-1/8)(-24) = 24/8 = 3.
Therefore, (-m)^-3 x n = 3.
The answer is A. 3.