Question

Simplify and write with positive exponents and no radicals.

Answer 1

\[\sqrt[3]{x ^{7}}/\sqrt{x ^{3}}\]
I don't really understand how to move the 3. Any help would be greatly appreciated! :)

Answer 2

\[\Large \frac{\sqrt[3]{x^7}}{\sqrt{x^3}}\]Like this?

Answer 3

There's a general rule for radicals.
\[\Large \sqrt[a]{x^b} = x^\frac ba\]

Answer 4

yes like that. and ok so it would be \[x^{7/3}/\sqrt{x^{3}}\] not quite sure where to go from there

Answer 5

Yes. You're right.
In the denominator change it in this form as well.
It will look something like:
\[\Large \frac{x^\frac73}{x^\frac32}\]
Agree?

Answer 6

Where did the 2 come from? Is it because you squared the sqrt?

Answer 7

Square root basically means it is to the power 2.
\[\Large \sqrt x = \sqrt[2]x = x^\frac12\]

Answer 8

Then you find a common bottom number? (sorry cant remember the name) so it would be x^14/6 / x^9/6 right? Then subtract and you get x^5/6?

Answer 9

Then it will be done like this:
\[\Large x^{\frac73-\frac32}\]