Question

Use the product rule to simplify

Answer 1

\[-\sqrt[3]{81x^{10}y^5}\]

Answer 2

It has been a long time...

Answer 3

- 3 cube root 3 x X^10/3 x Y^ 5/3

Answer 4

So, I know my first thing to do is see if I can make it a perfect cube.
And I know 27, which has a perfect cube, *3 is 81.
\[=-\sqrt[3]{27x^{9}y ^{3}*(3xy ^{2)}}\]

Answer 5

Then what? Simplify the first part to =3x^3y?

Answer 6

And don't the rest of it stay the same?

Answer 7

give me the original question and ill attach the method

Answer 8

Thanks

Answer 9

Ignore the "y" at the edge of the page.

Answer 10

Well you can use this \[\left( a ^{b} \right)^{c} = a ^{b \times c}\]

Answer 11

In this case c would be 1/3 which represents the root

Answer 12

I think I got it now, thanks.