Question

What is (-m)^-3(n) if m=-2 and n=-24
A) 3
B)-3
C)4
D)-4

Answer 1

(-2)^(-3)(-24)

Cubing an expression is the same as multiplying the expression by itself 3 times.
(1)/((-2)(-2)(-2))*(-24)

Multiply -2 by -2 to get 4.
(1)/((4)(-2))*(-24)

Multiply 4 by -2 to get -8.
(1)/(-8)*(-24)

Move the minus sign from the denominator to the front of the expression.
-((1)/(8))*(-24)

Multiply (1)/(8) by -24 to get -3.
-(-3)

Multiply -1 by each term inside the parentheses.
3


Your answer is A) 3