Question

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

A. 3
B. -3
C. 4.
D. -4

Answer 1

Answer A. 3

Explanation:

Answer 2

Option (a) is correct.

The value of expression
`(-m)^(-3)n` when m = 2 and n = -24 is 3.

Explanation:

Given expression
`(-m)^(-3)n`

We have to evaluate the value of given expression when m = 2 and n = - 24

Consider the given expression
`(-m)^(-3)n`,

to find the value of expression at m = 2 and n = -24

Substitute in the expression the values of m and n

`\Rightarrow (-m)^(-3)n=(-2)^(-3)(-24)`

Using property of exponents,
`a^(-x)=(1)/(a^x)`

We get,
`\Rightarrow (-2)^(-3)(-24)=(-24)/((-2)^3)`

Solving further, we get,

`\Rightarrow (-24)/((-2)^3)=(-24)/(-2 * -2 * -2)`

On solvine we get
`(-24)/(-2 * -2 * -2)=3`

Thus, the value of expression
`(-m)^(-3)n` when m = 2 and n = -24 is 3.

Thus, option (a) is correct.