Question

Use the product rule to simplify the expression: 5 to the 10th power×5 to the3rd power

Answer 1

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

5^10 * 5^3 = 5^(10+3) = 5^13

So, 5 to the 10th power times 5 to the 3rd power is equal to 5 to the 13th power.