Hi Theresa,
So to find the root, we have to remember the Laws of Exponents for this problem.
1st, we can separate the radicand (everything under the root sign) as two different bases: 625*x^{20}. So the problem now looks like ^{4}√625 * ^{4}√x^{20}
2nd, because of the Laws of Exponents, we know that the 4√ of x is just x^{1/4}. So we can change ^{4}√625 *
^{4}√x^{20} to (625)^{1/4} * (x^{20})^{1/4}.
3rd, now we can simplify the problem, again using the Law of Exponents. (625)^{1/4}=5 and (x^{20})^{1/4}=x^{20/4}. So the entire problem looks like 5*x^{20/4}, which equals 5x^{5}.
So your answer is 5x^{5}^{ }
Hope this helps and makes sense too.
Best regards,
Micheal C.