Question

Simplify. Express the product as a radical expression.

Answer 1

two rules to combine here:\[\large(x^a)^b=x^{ab}\]and\[\large x^{a/b}=\sqrt[b]{x^a}\]

Answer 2

once you have it in the radical form, you can pull even powers of x out of the radical sign
i.e.\[\sqrt{x^7}=\sqrt{x^6\cdot x}=x^3\sqrt x\]

Answer 3

oh but in this case it's a 4th root, so you need to pull out powers of 4 from the radical sign

my mistake

Answer 4

same idea though\[\sqrt[4]{x^9}=\sqrt[4]{x^8\cdot x}=x^2\sqrt x\]

Answer 5

so would it be B?

Answer 6

yeah
I didn't mean to actually give the answer; I tried to make up a problem and I accidentally used your numbers
oh well....

Answer 7

lol, but i understand it now! :)

Answer 8

you won't be so lucky next time, so the understanding is the important part anyway.
That makes me glad.

Answer 9

thanks for your help! :)

Answer 10

very welcome :)