Question

Use the product rule of exponents to simplify 5^10•5^5 .

Answer 1

To simplify the expression, we use the product rule of exponents, which states that when multiplying numbers with the same base, we add their exponents.

In this case, we have 5^10 multiplied by 5^5. The base is 5, so we add the exponents:

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

Therefore, 5^10 * 5^5 simplifies to 5^15.