Answer:
Option (a) is correct.
The value of expression \((-m)^{-3}n\) when m = 2 and n = -24 is 3.
Step-by-step 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, \(a^{-x}=\frac{1}{a^x}\)
We get, \(\Rightarrow (-2)^{-3}(-24)=\frac{-24}{(-2)^3}\)
Solving further, we get,
\(\Rightarrow \frac{-24}{(-2)^3}=\frac{-24}{-2 \times -2 \times -2}\)
On solvine we get \(\frac{-24}{-2 \times -2 \times -2}=3\)
Thus, the value of expression \((-m)^{-3}n\) when m = 2 and n = -24 is 3.
Thus, option (a) is correct.
