Question

use the product rule of exponents to simplify 5 to the power of ten times 5 to the power of 5

Answer 1

To simplify 5 to the power of ten times 5 to the power of 5 using the product rule of exponents, we add the exponents when multiplying exponential expressions with the same base.

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

Therefore, 5 to the power of ten times 5 to the power of 5 simplifies to 5 to the power of 15.