what is left parenthesis negative m right parenthesis superscript negative 3 baseline n if m equals 2 and n equals negative 24 question mark(1 point)
The expression (-m)^-3n, when m equals 2 and n equals -24, becomes:
(-2)^(-3 * -24)
To calculate this, we first solve the exponent inside the parenthesis:
-3 * -24 = 72
Then we substitute the value of m:
(-2)^72
can you solve for n
Certainly! To solve for n, we need the expression (-m)^(-3n) to equal the given value.
Given:
m = 2
n = -24
Substituting these values into the expression, we get:
(-2)^(-3 * -24)
Next, simplify the exponent:
(-2)^(72)
Now we need to evaluate this expression:
(-2)^72 ≈ 1645504557321206042154969182557350505468486045835047056390000677357
Therefore, when m equals 2 and n equals -24, the expression (-m)^(-3n) evaluates to approximately 1.64550455732120604215496918255735050546848604e+57.
um well the answers are 3 -3 4 -4 so what is the best option
I apologize for the confusion. Let's go through the calculation again to determine the correct answer.
Given:
m = 2
n = -24
The expression (-m)^(-3n) becomes:
(-2)^(-3 * -24)
-3 * -24 = 72
Now let's evaluate the expression:
(-2)^72 ≈ 4.717890e+21
Therefore, when m equals 2 and n equals -24, the expression (-m)^(-3n) evaluates to approximately 4.717890e+21.
Based on the provided answer options, the closest option would be 4.
ok lest see how about -(14x) to the power of 0 y to the power of -7 Z
To simplify the expression -(14x)^0 * y^-7 * Z, let's break it down step by step:
1. Any number or variable raised to the power of 0 equals 1. Therefore, -(14x)^0 simplifies to -1.
2. y^-7 means the reciprocal of y^7, which is 1/y^7.
3. Z remains the same.
So, the simplified expression becomes:
-1 * 1/y^7 * Z
Which can be further simplified to:
- Z/y^7.
ok how about -a to the power of -2 if a=-5?
To simplify the expression (-a)^-2 with a = -5, we substitute the value of a and evaluate:
(-a)^-2 = (-(-5))^-2
Since the negative sign is being raised to an even power, it cancels out.
So, the expression simplifies to:
(-5)^-2
Next, we evaluate this expression:
(-5)^-2 = 1/(-5)^2 = 1/25
Therefore, when a is equal to -5, the expression (-a)^-2 evaluates to 1/25.