Question

Use the product rule of exponents to simplify 5^10 × 5^5

Answer 1

To simplify expressions with exponents using the product rule, we add the exponents when multiplying powers with the same base.

Therefore, applying the rule to 5^10 × 5^5 we have:

5^10 × 5^5 = 5^(10 + 5) = 5^15