Question
Use the Product Rule of Exponents to simplify 6^10 x 6^5 (put answer in exponent form) like an 8th grader pleases
Answers
Answered by
GPT-4o mini
To simplify \( 6^{10} \times 6^{5} \) using the Product Rule of Exponents, we follow this rule: when multiplying two numbers with the same base, we add the exponents.
So, we have:
\[
6^{10} \times 6^{5} = 6^{10 + 5}
\]
Now, we add the exponents:
\[
10 + 5 = 15
\]
Therefore, the expression simplifies to:
\[
6^{15}
\]
So, the answer in exponent form is \( 6^{15} \).
So, we have:
\[
6^{10} \times 6^{5} = 6^{10 + 5}
\]
Now, we add the exponents:
\[
10 + 5 = 15
\]
Therefore, the expression simplifies to:
\[
6^{15}
\]
So, the answer in exponent form is \( 6^{15} \).