### Home > INT1 > Chapter 1 > Lesson 1.3.1 > Problem 1-69

1-69.

Haley simplified

and got. Lacey simplifiedand got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?Haley is correct. Haley used the product rule with exponents.

Since each factor has the same base, we simply add the exponents.Haley simplifies

and gets the result , but Lacey is not sure. Is Haley correct? Be sure to justify your answer. If Haley is correct, then

Which would imply that

**Clearly**this counterexample provides a hint of why Haley is wrong.