Question

multiply and simplify by factoring (see comments for problem)

Answer 1

\[\sqrt[3]{y ^{13}}\sqrt[3]{16y ^{14}}\]

Answer 2

13 can be divided by 3 how many times?

Answer 3

4........

Answer 4

\Actually, disregard what I said before. Just combine the radicals since they have the same index, 3, like so.
\[\sqrt[3]{y^{13}}\sqrt[3]{16y^{4}} = \sqrt[3]{16y^{27}}\]

Answer 5

Now:
\[\sqrt[3]{2 * 8 * y^{3} * y^{3} * y^{3} * y^{3} * y^{3} * y^{3} * y^{3} * y^{3} * y^{3}}\]
can you solve it now?

Answer 6

I dont think so ...........16^27?

Answer 7

The cubed root says that anything out side is that to the third power. For instance:
\[\sqrt[3]{8} = \sqrt[3]{2 * 2 * 2} = 2\]

Answer 8

Therefore, the same is with letters:
\[\sqrt[3]{2 * 8 * y^{3} * y^{3} * y^{3} * y^{3} * y^{3} * y^{3} * y^{3} * y^{3} * y^{3}} = 2y^{9}\sqrt[3]{2}\]