Question

Write the following expression using exponents:


5×5×d×5×d×5×d5×5×d×5×d×5×d



Part A

The exponent for 5 is

   

   

 

Part B

The exponent for d is

   

   

Answer 1

Let's break down the given expression:

\( 5 \times 5 \times d \times 5 \times d \times 5 \times d \times 5 \times 5 \times d \times 5 \times d \times 5 \times d \).

First, we'll count the occurrences of \( 5 \) and \( d \) separately.

**Counting the number of \( 5 \)s:**
- The occurrences of \( 5 \) in the expression are:
- \( 5 \): occurring 7 times

**Counting the number of \( d \)s:**
- The occurrences of \( d \) in the expression are:
- \( d \): occurring 5 times

Now we can express this using exponents.

**Part A**
The exponent for \( 5 \) is \( 7 \).

**Part B**
The exponent for \( d \) is \( 5 \).

So, the expression in its entirety can be written as:

\[
5^7 \times d^5
\]

**Final answers:**
- Part A: 7
- Part B: 5