Question

What is the exact value of 7q^4/√q^15

Answer 1

Here, you'd like to get an even degree of q under the radical so that you can pull it out. What is the next even number smaller than 15?

Answer 2

14?

Answer 3

Yes, so now you have
\[7q^4 \sqrt{q^{14} q}\]
Right?
So you can take the q^14 out of the radical. Remember that sqrt(q^2) = q, when you pull it out.

Answer 4

??????

Answer 5

When you pull q^14 out of the radical, you will have q^7, not q^14.

Answer 6

So now what do you have?

Answer 7

I did not see the divide, but the same still applies here, but you have:
\[7q^4 / \sqrt{q^{14}q}\]

Answer 8

\[\frac{7q^4}{\sqrt{q^{15}}}\]