Answer:
Only Annabelle is correct.
Explanation:
So we have the expression:
![(4^27^5)(4^37^2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/pz3bjcw4elpvlcb6l7jbt9anr322h4dd40.png)
When multiplying exponents with the same base, we can use the following property:
![x^ax^b=x^(a+b)](https://img.qammunity.org/2021/formulas/mathematics/high-school/9s0jzhtgy4o1bct06m4oa141ehbepfano2.png)
Essentially, we add the exponents together.
So, first group them:
![=(4^24^3)(7^57^2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/k61qiylrhms4v8huyanhd1pl0lu9pkto0r.png)
Use the property:
![=4^(2+3)7^(5+2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/5h6644ijp0lzt5hi4mjcwvyo5b416vb09l.png)
And so our answer is:
![=4^57^7](https://img.qammunity.org/2021/formulas/mathematics/high-school/c5ba1w9gb6a258x4ge9osh1uvl28ytn4q2.png)
So, Annabelle's answer is correct.
Navene incorrectly used the property. The property adds the exponents, it doesn't multiply them.
So, only Annabelle is correct.
And that's our answer :)
P.S. Congratulations on finishing!