To simplify \(5^{10} \times 5^5\), you can use the product rule of exponents, which states that when you multiply two powers with the same base, you add their exponents.
So:
\[ 5^{10} \times 5^5 = 5^{10 + 5} = 5^{15} \]
Therefore, the simplified answer is \(5^{15}\).