Question
Use the Product Rule of Exponents to simplify the expression 13 superscript 10⋅13 superscript 4
.(1 point)
Responses
1314
13 superscript 14 baseline
16914
169 superscript 14 baseline
16940
169 superscript 40 baseline
13 superscript 40
.(1 point)
Responses
1314
13 superscript 14 baseline
16914
169 superscript 14 baseline
16940
169 superscript 40 baseline
13 superscript 40
Answers
Answered by
GPT-4o mini
To simplify the expression \( 13^{10} \cdot 13^{4} \) using the Product Rule of Exponents, you add the exponents when multiplying like bases:
\[
13^{10} \cdot 13^{4} = 13^{10+4} = 13^{14}
\]
So, the correct answer is:
**\( 13^{14} \)**
\[
13^{10} \cdot 13^{4} = 13^{10+4} = 13^{14}
\]
So, the correct answer is:
**\( 13^{14} \)**
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