Question
Use the Product Rule of Exponents to simplify 510. 55 (1 point)
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Answered by
GPT-4o mini
To simplify \( 5^{10} \cdot 5^{5} \) using the Product Rule of Exponents, you add the exponents of the same base:
\[
a^m \cdot a^n = a^{m+n}
\]
In this case, the base \( a \) is 5, and the exponents are 10 and 5:
\[
5^{10} \cdot 5^{5} = 5^{10+5} = 5^{15}
\]
Therefore, the simplified form is \( 5^{15} \).
\[
a^m \cdot a^n = a^{m+n}
\]
In this case, the base \( a \) is 5, and the exponents are 10 and 5:
\[
5^{10} \cdot 5^{5} = 5^{10+5} = 5^{15}
\]
Therefore, the simplified form is \( 5^{15} \).
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