Explanation:
The expression that we have is:
[tex]\frac{11^7}{11^6}[/tex]
And we need to simplify the expression using the division property rule of exponents.
Step 1. The rule is:
[tex]\frac{A^m}{A^n}=A^{m-n}[/tex]
Where A is the base and m and n are the exponents.
Step 2. Applying the rule to our expression:
[tex]\frac{11^{7}}{11^{6}}=11^{7-6}[/tex]
Simplifying the exponent:
[tex]11^1[/tex]
This could also be written as just 11.
Step 3. In the first box, we need to plug in the base of the result, which in this case is 11:
[tex]\begin{gathered} First\text{ box:} \\ 11 \end{gathered}[/tex]
And in the second box, we plug in the exponent of the result, which is 1:
[tex]\begin{gathered} Second\text{ box:} \\ 1 \end{gathered}[/tex]
Answer:
[tex]11^1[/tex]
