Answer:
d. 100x^32
Step-by-step explanation:
First of all, you can separate de root into √10000*√x^64.
Now, we have to simplify 10000 into 100^2; so if you have √100^2 you can simplify to 100^(2/2) = <u><em>100</em></u>, thats why the root index is the numerator of the exponent.
By last, we do the same process with √x^64 = x^(64/2) = <u><em>x^32</em></u>.
If we unite both simplifications, we finally get <em>100x^32 </em>(option d).