Use the Product Rule of Exponents to simplify 6^10 x 6^5 (put answer in exponent form. can you do it like a 7th grader pleases

Answer 1

Sure! The Product Rule of Exponents says that when you multiply two numbers with the same base, you can add their exponents.

In your example, you have \(6^{10} \times 6^{5}\).

Since both numbers have the base 6, we can add the exponents together:

\[ 6^{10} \times 6^{5} = 6^{10 + 5} \]

Now, let's add the exponents:

\[ 10 + 5 = 15 \]

So, the simplified form is:

\[ 6^{15} \]

That’s your answer in exponent form!