Question

use the product rule of Exponents to simplify 5^10 x 5^5

Answer 1

are you right?

Answer 2

To simplify the product 5^10 * 5^5 using the product rule of exponents, add the exponents together.

This is because the product rule states that when multiplying two terms with the same base, you can add their exponents.

In this case, we have 5^10 * 5^5, which means we have two terms with the same base 5. Therefore, we can add their exponents:

5^10 * 5^5 = 5^(10 + 5)

Now, add the exponents together:

5^(10 + 5) = 5^15

Thus, the simplified form of 5^10 * 5^5 using the product rule of exponents is 5^15.

Answer 3

I apologize for the mistake in my previous response.

To simplify the product 5^10 * 5^5 using the product rule of exponents, you would add the exponents together as follows:

5^10 * 5^5 = 5^(10 + 5) = 5^15

So, the correct simplified form of 5^10 * 5^5 using the product rule of exponents is 5^15. Thank you for pointing out the error.