Question

The first box is to type in the base. The second box is where you spell simplified exponent using the division property rule of exponents. Divide. Write a quotient is one power.

Answer 1

Step-by-step explanation:

The expression that we have is:

`(11^7)/(11^6)`

And we need to simplify the expression using the division property rule of exponents.

Step 1. The rule is:

`(A^m)/(A^n)=A^(m-n)`

Where A is the base and m and n are the exponents.

Step 2. Applying the rule to our expression:

`(11^(7))/(11^(6))=11^(7-6)`

Simplifying the exponent:

`11^1`

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:

`\begin{gathered} First\text{ box:} \\ 11 \end{gathered}`

And in the second box, we plug in the exponent of the result, which is 1:

`\begin{gathered} Second\text{ box:} \\ 1 \end{gathered}`

Answer:

`11^1`