Question
Use the Product of Exponents to simplify the expression 13 to the tenth power times 13 to the fourth power
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Answered by
GPT-4o mini
To simplify the expression \( 13^{10} \times 13^{4} \) using the Product of Exponents rule, we add the exponents since the bases are the same.
The rule states:
\[
a^m \times a^n = a^{m+n}
\]
In this case, we have:
\[
13^{10} \times 13^{4} = 13^{10 + 4} = 13^{14}
\]
Thus, the simplified expression is:
\[
\boxed{13^{14}}
\]
The rule states:
\[
a^m \times a^n = a^{m+n}
\]
In this case, we have:
\[
13^{10} \times 13^{4} = 13^{10 + 4} = 13^{14}
\]
Thus, the simplified expression is:
\[
\boxed{13^{14}}
\]
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