QuestionUse the Product Rule of Exponents to simplify 510⋅55510⋅55(1 point)Responses2550255025 superscript 50 baseline5505505 superscript 50 baseline2515251525 superscript 15 baseline515

Answer 1

To simplify \( 5^{10} \cdot 5^{55} \) using the Product Rule of Exponents, we apply the rule which states that when multiplying like bases, we add the exponents.

So, we have:

\[ 5^{10} \cdot 5^{55} = 5^{10 + 55} = 5^{65} \]

Thus, the simplified form is \( 5^{65} \).

None of the provided responses match this result directly. Please check the options available, but based on the computation, the answer is \( 5^{65} \).