Question

Simplify (x^-4)^-6

Answer 1

\[{x^{-4}}^{-6}??\]

Answer 2

I'm not sure if it would be x^-24 or x^24.

Answer 3

oh I see, negative * negative = positive :)

Answer 4

of course it should be x^24

Answer 5

At first I took a glance and thought it was (x-4)^-6 >_> haha.

Answer 6

That is why I made clarification to the asker. :)

Answer 7

Hey @dragonfly22 , you want me to prove why it became x^24 ?

Answer 8

It;s okay, i understand why, I just wasn't sure if two negative powers made a positive, but thank you.

Answer 9

but i can prove that 2 negative can result to a positive. just to remove your unsureness.

Answer 10

Yeah sure go for it!

Answer 11

let's make x^-4 be positive.
then it will be
\[\frac{ 1 }{ {x^4}^{-6} }\]

Answer 12

still, there is a negative exponent. Now. let's make (x^4)^-6 be positive exponent

Answer 13

then it will be
\[\frac{ 1 }{ \frac{ 1 }{ {x^4}^6 } }\]

Answer 14

Hence it will be x^24 :)

Answer 15

Ahh, I got it, thank you so much, I appreciate it.