## DF001 one year ago Help Simplifying and write answer with positive exponents only. (-2x^6y^-5/3x^-2y^4)^-3

1. DF001

|dw:1441083048569:dw|

2. DF001

$\left(\begin{matrix}\ \frac{ -2x^6y^-5 }{ 3x^-2y^4 }\ \end{matrix}\right) ^3$

3. DF001

My calculations are: 27y^27 / -8x^24

|dw:1441083217764:dw|

Now apply the formula: |dw:1441083359642:dw|

6. DF001

my answer is $\frac{ 27y ^{27} }{ -8x^{24} }$

7. DF001

I subtracted the exponents and then I flipped the fraction to change the outside exponent into a positive 3

|dw:1441083494401:dw|

9. DF001

can that be written as the way i wrote it?

|dw:1441083579991:dw|

11. DF001

-3

I did with +3.. let me do the other way too

13. DF001

How I did it is, I subtracted big exponent to small and then I flipped the fraction due to the 3 being negative.

yes thats correct....

15. DF001

thank you.

16. DF001

but i thought it was weird for a negative to be the denominator

|dw:1441083656194:dw|

|dw:1441083716187:dw|

19. DF001

Yes, i did it like that and then I subtracted the bigger exponents to the smaller

So the answer will be: |dw:1441083787155:dw|

21. DF001

thank you.