Question

Help please? I'll fan and medal :)

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

*3
*-3
*4
*-4

Can someone explain how to do this to me because I keep getting -193/8 and I don't know if that's completely wrong or not?

Answer 1

do you mean \[\Large (-m)^{-3n}\] ??

Answer 2

No, the 'n' variable isn't part of the exponent @jim_thompson5910

Answer 3

so this?

\[\Large (-m)^{-3}n\]

Answer 4

Yep

Answer 5

We replace m with 2 and n with -24 and simplify
\[\Large (-m)^{-3}n\]
\[\Large (-2)^{-3}(-24)\]
\[\Large \frac{1}{(-2)^3}*(-24)\]
\[\Large \frac{1}{-8}*(-24)\]
\[\Large \frac{-24}{-8}\]
\[\Large 3\]
Therefore,
\[\Large (-m)^{-3}n=3\] when m = 2 and n = -24

Answer 6

You got it right elca

Answer 7

On step 3, I used the rule
\[\Large x^{-k} = \frac{1}{x^k}\]

Answer 8

Thank you!! :) @jim_thompson5910

Answer 9

you're welcome