Question

(-3w^3 x^-6)^3

Write your answer using only positive exponents.

Answer 1

\[x^{-a} = \frac{1}{x^a}\]\[(xy)^m = x^my^m\]

Answer 2

Please help? I still dont understand? ):

Answer 3

how far did you get gabriel72alv?

Answer 4

I couldnt figure out how to put it in the equation I needed to solve it? ):

Answer 5

I'll do a similar example (just with different numbers)


\[\Large \left(-2w^{5}x^{-8}\right)^{4}\]


\[\Large \left(-2\right)^{4}\left(w^{5}\right)^{4}\left(x^{-8}\right)^{4}\]


\[\Large \left((-2)^{1}\right)^{4}\left(w^{5}\right)^{4}\left(x^{-8}\right)^{4}\]


\[\Large (-2)^{1*4}w^{5*4}x^{-8*4}\]


\[\Large (-2)^{4}w^{20}x^{-32}\]


\[\Large (-2)^{4}w^{20}\frac{1}{x^{32}}\]


\[\Large 16w^{20}\frac{1}{x^{32}}\]


\[\Large \frac{16w^{20}}{x^{32}}\]

Answer 6

So would I get (-3w^3/x^6)^3 ?

Answer 7

Keep going. So far, so good.

Answer 8

Theres still another step? o:

Answer 9

Yes there are more steps.

Answer 10

How would you work it out to get to the next step though? I understand that.

Answer 11

You would apply the outermost exponent to each term inside

Answer 12

In other words, you would cube each piece.

Answer 13

So basically would it be, (-3w^3/x^6) times (-3w^3/x^6) times (-3w^3/x^6) ?

Answer 14

Yes pretty much

Answer 15

So that explains why, for instance, in the denominator you will have

x^6*x^6*x^6 = x^(6+6+6) = x^(18)

Answer 16

A shortcut is to use this rule

\[\Large (x^m)^n = x^{m*n}\]

Answer 17

So would I get for my answer to that is -27w^9/x^18 ?

Answer 18

You are 100% correct. Nice work.

Answer 19

Nicee! Haa, So thats my answer? xD

Answer 20

Yes it is.

Answer 21

Awesome, Thank you so much jim_thompson5910 ! (:

Answer 22

you're welcome