Sure! To simplify \( 6^{10} \times 6^{5} \) using the Product Rule of Exponents, we use the rule that states when you multiply two exponents with the same base, you add the exponents together.
So, in this case, we have:
\[ 6^{10} \times 6^{5} = 6^{10 + 5} \]
Now, we just need to add the exponents:
\[ 10 + 5 = 15 \]
So, the final answer is:
\[ 6^{15} \]
That’s it! \( 6^{10} \times 6^{5} \) simplifies to \( 6^{15} \).
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