Question

Simplify:
(3x^2y^-3)^3
____________
54x^-8y^-10

@BangkokGarrett @nikato @fufu0331

Answer 1

Simply the top

"Distribute" the ^3

3^3 x x^(2x3) x y^(-3x3)

Answer 2

9 * x^6 * y^-9

Answer 3

Correct so now you have

9x^6y^-9
-----------
54x^-8y^-10

Now to make it easier to see and do, you can break it into 3 parts

9. x^6. y^-9
--x------ x. ------
54. x^-8. y^-10

Can you try simplifying each?

Answer 4

x^14y
_______
6

?

Answer 5

keep in mind that \(\large\bf a^{-{\color{red} n}} = \cfrac{1}{a^{\color{red} n}}=a^{-{\color{red} n}}\)

Answer 6

@nikato is that right?

Answer 7

Correct

Answer 8

Thanks:D

Answer 9

No problem