use the Product Rule of Exponents to simplify 5^10 * 5^5

Question

1. 25^50
2. 5^15
3. 25^15
4. 5^50

Answer 1

The Product Rule of Exponents states that when multiplying two powers with the same base, you add their exponents.

In this case, we have 5^10 * 5^5.

To simplify, we add the exponents:

10 + 5 = 15

Therefore, the simplified expression is 5^15.

So, the correct answer is: 2. 5^15