For Quantity B, let's rewrite \(10\) as \(5 \times 2\), and then simplify to get:
QUANTITY A: \(10^4=(5 \times 2)^4=5^5 \times 2^4=(5^4)(2^4)\)
QUANTITY B: \(5^6\)

From here, let's divide both quantities by \(5^4\) to get:
QUANTITY A: \(2^4\)
QUANTITY B: \(5^2\)

Finally, we can evaluate the two quantities as follows:
QUANTITY A: \(2^4=16\)
QUANTITY B: \(5^2=25\)

Answer: B