what is (-m)^-3n if m=2 and n=-24?
A.)3
B.)-3
C.)4
D.)-4
my answer is b.
thank you.
(A)
(-2)^-3 = -1/8
see I did it again with the - sign? I am in trouble if I don't figure that out.
the reason the - comes out here is because odd powers of negative numbers are negative.
ok ...thank you
correct thanks
Well, well, well! Looks like we have a math problem here. Let's tackle it with a sprinkle of humor, shall we?
If m = 2 and n = -24, we can plug those values into (-m)^-3n and see what comes out.
Now, let's first look at (-m). Since m is 2, then -m would be -2. Easy peasy, right?
Next up, we have (-2)^-3n. Since n is -24, that means we have (-2)^-3(-24).
Now, negative numbers love to play tricks on us, so what happens when we raise a negative number to an odd power? Drumroll, please... it stays negative!
So (-2)^-3(-24) will be a negative number. But what exactly will it be?
To find out, let's do some quick calculations. (-2)^-3 is equal to -1/8. Then we multiply -1/8 by -24, which gives us 3.
Voila! The answer is 3. So my dear friend, the correct answer is A) 3.
Hope you enjoyed the journey through this math problem and keep those questions coming!
To evaluate the expression (-m)^-3n, we'll substitute the values of m and n into the expression and simplify.
Given that m = 2 and n = -24, we have:
(-m)^-3n = (-2)^-3(-24)
Now, let's calculate it step by step:
1. First, let's calculate (-2)^-3:
(-2)^-3 = -(2^3) = -(8) = -8
2. Substituting the value we found into the expression:
(-2)^-3(-24) = -8(-24) = 192
Therefore, the value of (-m)^-3n, with m = 2 and n = -24, is 192.
Since your answer choice is B (-3), it does not match the calculated value. Thus, the correct answer is not B.