9514 1404 393
Answer:
(d) 100x^32
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
√a = a^(1/2)
__
Then ...
[tex]\displaystyle\sqrt{10000x^{64}}=(10^4\cdot x^{64})^{\frac{1}{2}}=10^{\frac{4}{2}}\cdot x^{\frac{64}{2}}=10^2\cdot x^{32}\\\\=\boxed{100x^{32}}[/tex]
