(-m) to the-3 power n if m =2 and n = -24
(-2)^-3 (-24)
= 1/(-2)^3 * (-24)
= -24/-8
= 3
To evaluate (-m) to the -3 power n, we are given m = 2 and n = -24. Let's substitute these values into the expression.
First, let's simplify (-m) to the -3 power. To calculate this, we need to take the negative of m and raise the absolute value of m to the power -3.
Since m = 2, (-m) will be -2. Now let's substitute this value into the expression.
So, (-m) to the -3 power is equal to (-2) to the -3 power.
To calculate (-2) to the -3 power, we need to take the reciprocal of (-2) to the 3rd power.
Reciprocal means taking the inverse of a number, which means flipping the fraction. In this case, we can write (-2) to the -3 power as 1 / ( -2 to the 3rd power).
Now let's calculate (-2) to the 3rd power. This means we multiply -2 by itself three times.
(-2) to the 3rd power = (-2) x (-2) x (-2) = -8.
Now let's take the reciprocal of -8. This means we flip the fraction, so 1 / (-8) = -1/8.
Therefore, (-2) to the -3 power is equal to -1/8.
Now let's substitute this into the expression.
(-m) to the -3 power n = (-1/8) x n
Since n = -24, we have:
(-m) to the -3 power n = (-1/8) x (-24)
To calculate this, we need to multiply -1/8 by -24.
(-1/8) x (-24) = 3.
Therefore, (-m) to the -3 power n, when m = 2 and n = -24, is equal to 3.