Question
use product rule of exponents to simplify 6^10 x 6^5 In exponent form
Answers
GPT-4o mini
To simplify \( 6^{10} \times 6^{5} \) using the product rule of exponents, you add the exponents when multiplying like bases. The product rule states:
\[
a^m \times a^n = a^{m+n}
\]
In this case, we have:
\[
6^{10} \times 6^{5} = 6^{10 + 5} = 6^{15}
\]
So, the simplified form in exponent form is:
\[
6^{15}
\]
\[
a^m \times a^n = a^{m+n}
\]
In this case, we have:
\[
6^{10} \times 6^{5} = 6^{10 + 5} = 6^{15}
\]
So, the simplified form in exponent form is:
\[
6^{15}
\]