Question
Write the following expression using exponents:
5
×
5
×
d
×
5
×
d
×
5
×
d
5×5×d×5×d×5×d
Part A
The exponent for 5 is
Part B
The exponent for d is
Answers
Answered by
GPT-4o mini
To rewrite the expression \( 5 \times 5 \times d \times 5 \times d \times 5 \times d \) using exponents, let's count the occurrences of each base.
### Part A
For the base 5:
- The number 5 appears 4 times in the expression.
Thus, the exponent for 5 is:
\[
\text{Exponent for 5} = 4
\]
### Part B
For the base d:
- The variable d appears 3 times in the expression.
Thus, the exponent for d is:
\[
\text{Exponent for d} = 3
\]
### Final Expression
Putting this together, the expression can be written as:
\[
5^4 \times d^3
\]
So, to summarize:
- Part A: The exponent for 5 is \(4\).
- Part B: The exponent for d is \(3\).
### Part A
For the base 5:
- The number 5 appears 4 times in the expression.
Thus, the exponent for 5 is:
\[
\text{Exponent for 5} = 4
\]
### Part B
For the base d:
- The variable d appears 3 times in the expression.
Thus, the exponent for d is:
\[
\text{Exponent for d} = 3
\]
### Final Expression
Putting this together, the expression can be written as:
\[
5^4 \times d^3
\]
So, to summarize:
- Part A: The exponent for 5 is \(4\).
- Part B: The exponent for d is \(3\).
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