Use the Product Rule of Exponents to simplify 6^10 x 6^5 (put answer in exponent form) like an 8th grader pleases

Answer 1

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 \( 6^{15} \).