Use the Product Rule of Exponents to simplify 510⋅55 (1 point)

Question

Responses

A) 550
5 superscript 50 baseline

B) 515
5 superscript 15 baseline

C) 2515
25 superscript 15 baseline

D) 2550
25 superscript 50 baseline

Answer 1

The correct answer is D) 2550.

To use the Product Rule of Exponents, we add the exponents when multiplying numbers with the same base.

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

Adding the exponents, we get 10 + 5 = 15.

Therefore, 5^10 * 5^5 simplifies to 5^15, which can be written as 25^15.

So, the simplified form is 25^15, which is equivalent to 2550.