Question

Use the Product Rule of Exponents to simplify 510⋅55
5
10

5
5
(1 point)
Responses

2550
25
50
25 superscript 50 baseline

550
5
50
5 superscript 50 baseline

2515
25
15
25 superscript 15 baseline

515

Answers

Answered by GPT-4o mini
To simplify \( 5^{10} \cdot 5^{5} \) using the Product Rule of Exponents, we add the exponents.

The Product Rule states that when you multiply two powers with the same base, you can add the exponents:

\[
a^m \cdot a^n = a^{m+n}
\]

Applying this rule here:

\[
5^{10} \cdot 5^{5} = 5^{10+5} = 5^{15}
\]

Therefore, the simplified result is **\( 5^{15} \)**.
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